Perturbations of black p-branes

We consider black p-brane solutions of the low-energy string action, computing scalar perturbations. Using standard methods, we derive the wave equations obeyed by the perturbations and treat them analytically and numerically. We have found that tensorial perturbations obtained via a gauge-invariant formalism leads to the same results as scalar perturbations. No instability has been found. Asymptotically, these solutions typically reduce to a AdSd((p+2)) x Sd((8-p)) space which, in the framework of Maldacena's conjecture, can be regarded as a gravitational dual to a conformal field theory defined in a (p+1)-dimensional flat space-time. The results presented open the possibility of a better understanding the AdS/CFT correspondence, as originally formulated in terms of the relation among brane structures and gauge theories.

Anisotropic Confinement, Electronic Coupling and Strain Induced Effects Detected by Valence-Band Anisotropy in Self-Assembled Quantum Dots

A method to determine the effects of the geometry and lateral ordering on the electronic properties of an array of one-dimensional self-assembled quantum dots is discussed. A model that takes into account the valence-band anisotropic effective masses and strain effects must be used to describe the behavior of the photoluminescence emission, proposed as a clean tool for the characterization of dot anisotropy and/or inter-dot coupling. Under special growth conditions, such as substrate temperature and Arsenic background, 1D chains of In(0.4)Ga(0.6) As quantum dots were grown by molecular beam epitaxy. Grazing-incidence X-ray diffraction measurements directly evidence the strong strain anisotropy due to the formation of quantum dot chains, probed by polarization-resolved low-temperature photoluminescence. The results are in fair good agreement with the proposed model.

cis-Bis{1,1-dibenzyl-3-[(furan-2-yl)carbonyl]thioureato-kappa 2 O,S}nickel(II)

In the title compound, [Ni(C(20)H(17)N(2)O(2)S)(2)], the NiII atom is coordinated by the S and O atoms of two 1,1-dibenzyl-3-[(furan-2-yl)carbonyl]thioureate ligands in a distorted square-planar geometry. The two O and two S atoms are mutually cis to each other. The Ni-S and Ni-O bond lengths lie within the range of those found in related structures. The dihedral angle between the planes of the two chelating rings is 20.33 (6)degrees.

N-Benzoyl-N ',N '-dimethylthiourea

In the title compound, C(10)H(12)N(2)OS, the amide NCO group is twisted relative to the thioureido SCN(2) group, forming a dihedral angle of 55.3 (2)degrees. The crystal packing shows intermolecular N-H center dot center dot center dot S and weak C-H center dot center dot center dot O interactions, the former giving rise to the formation of centrosymmetric R(2)(2)(8) dimers.

cis-Bis[1,1-dibenzyl-3-(furan-2-ylcarbonyl)thioureato-kappa(2)O,S]copper(II)

In the title compound, [Cu(C(20)H(17)N(2)O(2)S)(2)], the Cu(II) atom is coordinated by the S and O atoms of two 1,1-dibenzyl-3-(furan-2-ylcarbonyl)thioureate ligands in a distorted square-planar geometry. The two O and two S atoms are mutually cis to each other. The Cu-S and Cu-O bond lengths lie within the ranges of those found in related structures. The dihedral angle between the planes of the two chelating rings is 26.15 (6)degrees.

Consequences of lifetime isolated growth hormone (GH) deficiency and effects of short-term GH treatment on bone in adults with a mutation in the GHRH-receptor gene

Growth hormone (GH) influences bone mass maintenance. However, the consequences of lifetime isolated GH deficiency (IGHD) on bone are not well established. We assessed the bone status and the effect of 6 months of GH replacement in GH-naive adults with IGHD due to a homozygous mutation of the GH-releasing hormone (GHRH)-receptor gene (GHRHR). We studied 20 individuals (10 men) with IGHD at baseline, after 6 months of depot GH treatment, and 6 and 12 months after discontinuation of GH. Quantitative ultrasound (QUS) of the heel was performed and serum osteocalcin (OC) and C-terminal cross-linking telopeptide of type I collagen (ICTP) were measured. QUS was also performed at baseline and 12 months later in a group of 20 normal control individuals (CO), who did not receive GH treatment. At baseline, the IGHD group had a lower T-score on QUS than CO (-1.15 +/- 0.9 vs. -0.07 +/- 0.9, P < 0.001). GH treatment improved this parameter, with improvement persisting for 12 months post-treatment (T-score for IGHD = -0.59 +/- 0.9, P < 0.05). GH also caused an increase in serum OC (baseline vs. pGH, P < 0.001) and ICTP (baseline vs. pGH, P < 0.01). The increase in OC was more marked during treatment and its reduction was slower after GH discontinuation than in ICTP. These data suggest that lifetime severe IGHD is associated with significant reduction in QUS parameters, which are partially reversed by short-term depot GH treatment. The treatment induces a biochemical pattern of bone anabolism that persists for at least 6 months after treatment discontinuation.

Patologia óssea do insuficiente renal crónico: desafio clínico-biológico ; Caracterização da osteodistrofia renal e efeitos da biocompatibilidade de membranas de hemodiálise, na remodelação óssea

Resumo: Os resultados das nossas investigações, apresentadas ao longo desta dissertação,contribuíram para a otimização do diagnóstico invasivo e não invasivo da osteodistrofia renal e permitiram evidenciar a relevância, para a expressão clínica e histológica da ODR, de algumas articularidades específicas da população hemodialisada, nomeadamente: a utilização de membranas de hemodiálise mais biocompatíveis e com elevada permeabilidade, o recurso a técnicas de hemodiafiltração com otimização da capacidade convectiva, as limitações dos marcadores bioquímicos de remodelação óssea ou a insuficiência / deficiência em vitamina D nativa (bem como os resultados da suplementação com esta vitamina). Testámos, pela primeira vez em doentes hemodialisados, novos marcadores da formação e reabsorção óssea, que validámos mediante a comparação com os resultados da histomorfometria óssea. No seu conjunto, e de forma integrada, as nossas investigações permitiram-nos: - Evidenciar a diminuição da expressão do recetor da PTH/PTHrP na cartilagem de crescimento, num modelo animal de IRC, o que explica, pelo menos em parte, o atraso de crescimento observado nesta patologia, bem como a diminuição da resposta à ação da PTH; - Demonstrar as vantagens da determinação da isoforma óssea da fosfatase alcalina, em relação à fosfatase alcalina total, no diagnóstico diferencial entre baixa e elevada remodelação óssea; - Utilizar, pela primeira vez em hemodialisados, a piridinolina e a desoxipiridinolina no diagnóstico da reabsorção óssea. Este foi o primeiro marcador sérico específico da atividade osteoclástica, utilizado com sucesso em doentes anúricos em hemodiálise. Evidenciámos uma excelente correlação destes dois marcadores bioquímicos com a superfície osteoclástica e com o número de osteoclastos/mm2;- Demonstrar as acentuadas limitações de outros marcadores da formação e reabsorção óssea (nomeadamente a osteocalcina, o propeptido carboxiterminal do procolagénio tipo I-PICP, e o Telopeptido do colagénio tipo I – ICTP) com base nas correlações entre os doseamentos séricos ou plasmáticos destes marcadores e a biópsia óssea com avaliação histomorfométrica; -Evidenciar as limitações induzidas pela sobrecarga alumínica na interpretação dos níveis séricos dos marcadores não invasivos da remodelação óssea;-Testar a eficácia e segurança da utilização de “microdoses” de desferroxamina na terapêutica da intoxicação alumínica, em doentes com acentuada exposição a este metal;-Demonstrar que os doentes hemodialisados cronicamente com dialisadores de poliacrilonitrilo (membranas de alta permeabilidade),apresentavam menor ativação osteoblástica e osteoclástica, que os doentes dialisados com membranas de cuprofano(baixa permeabilidade), sendo os níveis de iPTH semelhantes em ambos os grupos estudados. Estes resultados apontam para uma menor ativação da remodelação óssea quando se utilizam membranas de hemodiálise mais biocompatíveis e/ou de maior permeabilidade, o que se poderá relacionar com a ultrafiltração de mediadores da ativação celular ou com a menor ativação dos mecanismos estimuladores da remodelação óssea, por parte destas membranas. Entre os mediadores da remodelação óssea que demonstrámos serem relevantes e estarem aumentados no soro de hemodialisados com membranas de baixo fluxo, contam-se a beta-2-microglobulina (2-M) e algumas citoquinas, com ação estimuladora das linhagens celulares envolvidas na remodelação óssea. Demonstrámos igualmente uma correlação positiva dos níveis séricos de 2-M com os níveis séricos da osteocalcina, da isoenzima óssea da fosfatase alcalina (marcadores da formação óssea) e com os níveis séricos da piridinolina (marcador da reabsorção óssea). Os níveis séricos de 2-M correlacionaram-se ainda, de forma negativa, com o volume osteoide (matriz óssea não calcificada). Nestes doentes hemodialisados, demonstrámos a presença de níveis séricos aumentados da interleucina-1, do antagonista do recetor da interleucina-1, da interleucina-6 e do recetor solúvel da interleucina-6. Salientamos as relações inversas que observámos, por um lado entre os níveis de antagonista do recetor da interleucina-1 e a superfície osteoblástica, e por outro lado entre o rácio do recetor da interleucina-6 / interleucina-6 (IL6-r/IL6) e a superfície osteoclástica. De acordo com estes nossos resultados originais, entendemos que a interferência nos níveis circulantes e na ativação local destes mediadores poderá justificar, em grande parte, o aumento da prevalência de doença óssea adinâmica, descrita por nós e por outros grupos. Evidenciámos uma elevadíssima prevalência de doença adinâmica (>50% dos doentes), numa população de hemodialisados sem exposição prévia ao alumínio, tratados de acordo com os K/DOQI “guidelines” e que ao longo de um ano mantiveram níveis séricos de cálcio e de fósforo controlados. Consequentemente, os doentes tratados de forma otimizada apresentaram uma prevalência surpreendentemente elevada de doença adinâmica. Os nossos resultados (classificados com o grau de evidência máxima pelos peritos KDIGO) contribuíram para dar suporte à grande diferença nos guidelines K/DOQI (2003) e KDIGO (2009) no que respeita aos valores alvo da PTH. Estamos conscientes que de que o facto de termos uma percentagem tão elevada de doença óssea adinâmica nas nossas populações de hemodialisados, bem como a demonstração de que alguns doentes com valores de PTH intacta (2ª geração) de cerca de 600 pg/ml tinham doença óssea adinâmica, condicionaram os novos objetivos KDIGO para a PTH. Os nossos resultados suportam, em nossa opinião, a adequação e vantagem da utilização dos critérios da KDIGO em vez dos KDOQI. Tendo em conta que os primeiros definem objetivos para a PTH entre 2 e 9 vezes o limite superior do normal e não se comprometem com valores alvo absolutos e rígidos (definidos previamente nos KDOQI entre 150 e 300 pg/mL), esta nova abordagem parece-nos mais correta.Na nossa investigação clínica, caracterizámos ainda a população hemodialisada portuguesa no que respeita aos níveis séricos de calcidiol, identificando a população com suficiência, insuficiência ou deficiência em vitamina D3. Documentámos uma acentuada prevalência de insuficiência e mesmo de deficiência nesta vitamina, numa vasta população de hemodialisados, a qual, muito provavelmente, reflete de forma fidedigna, o que se pode observar na restante população de doentes portugueses IRC em estádio 5d (em diálise). Descrevemos, pela primeira vez em doentes hemodialisados, uma associação entre deficiência em calcidiol e a presença de fatores de risco cardiovascular (que têm sido identificados nos doentes urémicos). A nossa investigação conduziu-nos a resultados originais, ao identificar os níveis baixos de 25(OH)vitamina D3 como um provável fator de risco cardiovascular em hemodialisados, visto que a deficiência nesta vitamina se associou, de forma muito significativa, ao aumento da prevalência de calcificações vasculares, a inflamação, a pressão de pulso mais elevada, a hipertrofia ventricular esquerda, a insuficiência cardíaca e a níveis séricos aumentados de “BNP-Brain natriuretic peptide”. Finalmente, numa avaliação prospetiva, de intervenção terapêutica, corrigimos a insuficiência ou deficiência em 25(OH)vitamina D3 e demonstrámos que essa correção se associou a uma redução dos fatores de risco cardiovascular. Esta última intervenção foi totalmente inovadora, visto ser a primeira avaliação prospetiva da evolução dos fatores de risco cardiovasculares, em função da suplementação com vitamina D nativa, em doentes hemodialisados. Em resumo, pensamos que os resultados das nossas investigações, acima sumarizadas e apresentadas ao longo dos diversos capítulos desta dissertação,contribuiram para uma nova perspetiva da osteodistrofia renal e para recolocar o foco da atenção dos nefrologistas no tecido ósseo e no eixo paratormona – vitamina D – remodelação óssea. Este eixo surje claramente envolvido em múltiplos processos fisiopatológicos, que suportam a elevada morbilidade e mortalidade (nomeadamente de causa cardiovascular) observada nos doentes urémicos.---------ABSTRACT: The results of our research, presented throughout this thesis, contributed towards the optimisation of the invasive and non-invasive diagnosis of renal osteodystrophy. They have also highlighted the importance, to the clinical and histological expression of the ODR, of some specific characteristics of the haemodialysis population, including: the use of biocompatible high permeability haemodialysis membranes, the use of haemodiafiltration techniques with convection enhancement, as well as the limitations of biochemical markers of bone turnover or native vitamin D insufficiency/deficiency (along with the supplementation results of this vitamin). New bone formation and resorption markers, which were validated by comparison with the results of bone histomorphometry, have been tested for the first time on haemodialysis patients.As a whole, and in an integrated approach, our research enabled us to: - Show the decrease of the PTH/PTHrP receptor expression in cartilage growth, used on an IRC animal model, which explains, to some extent, not only the delayed growth observed in this pathology, but also the slow response to PTH. - Point out the advantages of the determination of bone isoform of alkaline phosphatase, in relation to the total alkaline phosphatase, in the differential diagnosis between low and high-bone turnover.- Use pyridinoline and deoxypyridinoline in the diagnosis of bone resorption for the first time on haemodialysis patients. This was the first specific serum market of the osteoclastic activity, which was successfully used on anuric patients undergoing haemodialysis treatment. We also observed an excellent correlation of these biochemical markers with the osteoclastic surface and the number of osteoclasts/mm2. - Demonstrate the sharp limitations of other markers of bone formation and resorption (namely osteocalcin, carboxyterminal propeptide of type I-PICP procollagen and telopeptide of type I-ICTP collagen) based on correlations between these markers’ serum or plasma assays and bone biopsy with histomorphometric assessment.-Show the limitations induced by aluminium overload in the interpretation of serum levels of bone remodelling non-invasive markers.-Test the efficacy and the safety of the use of deferoxamine “microdoses” for treatment of aluminium overload among patients with high levels of serum aluminium. - Demonstrate that patients with chronic haemodialysis dialysers of polyacrylonitrile (high permeability membranes) show a lower osteoblastic and osteoclastic activation than those undergoing dialysis with cuprofan membranes (low permeability), being the iPTH levels similar in both groups of patients. These findings point towards a lower activation of bone remodelling when using more biocompatible dialysis membranes and/or of higher permeability, which may relate to the ultrafiltration of cell activation mediators or to the lower activation of the stimulating mechanisms of bone remodelling, regarding the membranes. Beta-2-microglobulin (2-M) and some cytokines that play a role/participate in bone remodelling are among the bone remodelling mediators, which we demonstrated to be relevant and to be increased in the serum of haemodialysis with low flow membranes. We also proved that there is a positive correlation of serum 2-M levels not only with serum osteocalcin levels, of the bone isoenzyme of alkaline phosphatase (bone forming markers), but also with levels of serum pyridinoline (bone resorption marker).Serum 2-M levels correlate negatively with the volume of osteoid (uncalcified bone matrix). We also demonstrated the presence of elevated serum levels of interleukin-1,interleukin-1 receptor antagonist, interleukin-6 and soluble interleukin-6 receptor in haemodialysis patients. We stress the inverse relationship which we observed on one hand between the interleukin-1 receptor antagonist levels and the osteoblastic surface and on the other between the ratio of interleukin-6 receptor / interleukin-6 (IL6-r/IL6) and the osteoblastic surface. According to these unique findings, we believe that the interference in the circulating levels and in the local activation of these mediators may partly explain the rising prevalence of adynamic bone disease. A high prevalence of adynamic disease has also been observed in a haemodialysis population (>50% of patients) with no previous exposure to aluminium. The patients were treated according to K/DOQI guidelines and maintained controlled serum calcium and phosphorus levels over one year. As a result, the patients who received optimised treatment showed a surprisingly high prevalence of adynamic disease. Our results, which were ranked with the highest degree of evidence by KDIGO experts, contributed to the great difference regarding the target values of PTH in the K/DOQI (2003) and KDIGO (2009) guidelines. We are aware that the finding of such a high percentage of adynamic bone disease in our haemodialysis population, as well as the evidence that some patients with intact PTH values (2nd generation) of 600 pg/ml suffered from adynamic bone disease, have hindered, the new KDIGO objectives to PTH.In our opinion, our results support the suitability and the advantage of using KDIGO criteria instead of KDOQI. This seems to be the right approach when taking into consideration that KDIGO sets objectives to PTH between 2 and 9 times the normal upper limit and does not compromise with the rigid and absolute target values (between 150 and 300 pg/mL) previously defined by KDOQI. In our clinical research, the Portuguese haemodialysis population was characterised in terms of serum clacidiol levels and identified as having vitamin D3 sufficiency, insufficiency or deficiency. It was also recorded the prevalence of severe vitamin D3 insufficiency and even deficiency in a large haemodialysis population, which most likely provides a reliable picture of the rest of the population in IRC Portuguese patients with 5d stage (undergoing dialysis). We described for the first time in aemosialysis patients an association between calcidiol deficiency and the presence of ardiovascular risk factors, (which have been identified on uraemic patients).Our research led us to unique findings by having identified the low levels of 25(OH) vitamin D3 as a likely cardiovascular risk factor in patients undergoing haemodialysis treatment, given that deficiency in this vitamin has been significantly associated not only with a rise in the prevalence of vascular calcifications, but also inflammation, left ventricular hypertrophy, high pulse pressure and high serum BNPBrain natriuretic peptide levels. Finally, based on a prospective assessment of therapeutic intervention, 25(OH)vitamin D3 insufficiency or deficiency was corrected and we were able to demonstrate that this same correction was associated with a reduction in cardiovascular risk factors. This was a forward-looking intervention regarding the supplementation of native vitamin D in haemodialysis patients, since it was the first prospective assessment of the evolution of cardiovascular risk factors. In short, the results of our research, summarised above and presented throughout the various chapters of this thesis, contributed towards a new perspective of the renal osteodystrophy and also to draw the nephrologists’ attention to the bone tissue and to the axis PTH – vitamin D – bone remodelling. This axis appears clearly involved in multiple physiopathological processes, which support the high morbidity and mortality rate, (particularly of cardiovascular causes), observed in uraemic patients.

First-Line Chemotherapy with Anthracycline and Taxane Combination in Metastatic Breast Cancer. Detection of bone metastases with TRACP 5b

Background: In Finland, breast cancer (BC) is the most common cancer among women, and prostate cancer (PC) that among men. At the metastatic stage both cancers remain essentially incurable. The goals of therapy include palliation of symptoms, improvement or maintenance of quality of life (QoL), delay of disease progression, and prolongation of survival. Balancing between efficacy and toxicity is the major challenge. With increasing costs of new treatments, appropriate use of resources is paramount. When new treatment regimes are introduced into clinical practice a comprehensive assessment of clinical benefit, adverse effects and cost is necessary. Both BC and PC show a predilection to metastasize to bone. Bone metastases cause significant morbidity impairing the patients´ QoL. Diagnosis of bone metastases relies mainly on radiological methods, which however lack optimal sensitivity and specificity. New tools are needed for detection and follow-up of bone metastases. Aims: Anthracyclines and taxanes are effective chemotherapeutic agents in the treatment of metastatic breast cancer (MBC) with different mechanisms of action. Therefore, evaluation of the combination of anthracyclines with taxanes was a justifiable approach in the treatment of MBC patients. We assessed the efficacy, toxicity, cost of treatment and QoL of BC patients treated with first-line chemotherapy for metastatic disease with the combination epirubicin and docetaxel. We also evaluated the diagnostic potential of tartrate-resistant acid phosphatase 5b (TRACP 5b) and carboxyterminal telopeptides of type I collagen (ICTP) in the diagnosis of bone metastases in BC and TRACP 5b in PC patients. Results: The combination of epirubicin and docetaxel was effective in this phase II study, but required individual dose adjustment to avoid neutropenic infections, and the use of growth factors to maintain a feasible dose level. The response rate was 54 % (95 % CI 37-71) and the median overall survival (OS) was 26 months. Of the patients, 87 % were treated for infections. The treatment of adverse events required additional use of health resources mainly due to neutropenic infections, thereby raising direct treatment costs by 20 %. Despite adverse events, the global QoL was not significantly compromised during the treatment. Clinically evident acute cardiac toxicity was not observed. The combination of serum TRACP 5b and ICTP was at least equally sensitive and specific in detection of of bone metastases as commonly used total alkaline phosphatise (tALP) in BC patients. In contrast, TRACP 5b was less specific and sensitive than tALP as a marker of skeletal changes in PC patients. Conclusions: Treatment with epirubicin and docetaxel showed high efficacy in first-line chemotherapy of MBC. The relatively high incidence of neutropenic infections requiring hospitalization increased the treatment costs. Despite adverse events, the global QoL of the patients was not significantly compromised. The combination of TRACP 5b and ICTP showed similar activity as tALP in detecting bone metastases in MBC. In contrast, TRACP 5b was less specific and sensitive than tALP as a marker of skeletal changes in PC.

Results of Joint Experiments and other IAEA activities on research using small tokamaks

This paper presents an overview of the results obtained during the Joint Experiments organized in the framework of the IAEA Coordinated Research Project on `Joint Research Using Small Tokamaks` that have been carried out on the tokamaks CASTOR at IPP Prague, Czech Republic (2005), T-10 at RRC `Kurchatov Institute`, Moscow, Russia (2006), and the most recent one at ISTTOK at IST, Lisbon, Portugal, in 2007. Experimental programmes were aimed at diagnosing and characterizing the core and the edge plasma turbulence in a tokamak in order to investigate correlations between the occurrence of transport barriers, improved confinement, electric fields and electrostatic turbulence using advanced diagnostics with high spatial and temporal resolution. On CASTOR and ISTTOK, electric fields were generated by biasing an electrode inserted into the edge plasma and an improvement of the global particle confinement induced by the electrode positive biasing has been observed. Geodesic acoustic modes were studied using heavy ion beam diagnostics on T-10 and ISTTOK and correlation reflectometry on T-10. ISTTOK is equipped with a gallium jet injector and the technical feasibility of gallium jets interacting with plasmas has been investigated in pulsed and ac operation. The first Joint Experiments have clearly demonstrated that small tokamaks are suitable for broad international cooperation to conduct dedicated joint research programmes. Other activities within the IAEA Coordinated Research Project on Joint Research Using Small Tokamaks are also overviewed.

Study of DNA damage with a new system for irradiation of samples in a nuclear reactor

In this paper, we report results of a quantitative analysis of the effects of neutrons on DNA, and, specifically, the production of simple and double breaks of plasmid DNA in aqueous solutions with different concentrations of free-radical scavengers. The radiation damage to DNA was evaluated by electrophoresis through agarose gels. The neutron and gamma doses were measured separately with thermoluminescent detectors. In this work, we have also demonstrated usefulness of a new system for positioning and removing samples in channel BH#3 of the IEA-R1 reactor at the Instituto de Pesquisas Energeticas e Nucleares (Brazil) without necessity of interrupting the reactor operation. (C) 2010 Elsevier Ltd. All rights reserved.

Quasinormal modes of semiclassical electrically charged black holes

We report the results concerning the influence of vacuum polarization due to quantum massive vector, scalar and spinor fields on the scalar sector of quasinormal modes in spherically symmetric charged black holes. The vacuum polarization from quantized fields produces a shift in the values of the quasinormal frequencies, and correspondingly the semiclassical system becomes a better oscillator with respect to the classical Reissner-Nordstrom black hole.

Total reaction cross-sections for light weakly bound systems

We have measured the elastic scattering cross-section for (8)Li + (9)Be and (8)Li + (51)V systems at 19.6 MeV and 18.5 MeV, respectively. We have also extracted total reaction cross sections from the elastic scattering analysis for several light weakly bound systems using the optical model with Woods-Saxon and double-folding-type potentials. Different reduction methods for the total reaction cross-sections have been applied to analyze and compare simultaneously all the systems.

VACUUM POLARIZATION EFFECTS ON QUASINORMAL MODES IN ELECTRICALLY CHARGED BLACK HOLE SPACE-TIMES

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the space-time corresponding to a charged semiclassical black hole, consisting of the quantum-corrected geometry of a Reissner-Nordstrom black hole dressed by a quantum massive scalar field in the large mass limit. Using a sixth order WKB approach we find a shift in the quasinormal mode frequencies due to vacuum polarization.

Curvature Estimates for Submanifolds in Warped Products

We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.