Conserved quantities and the formation of black holes in the Brans-Dicke theory of gravitation

In Part I, we construct a symmetric stress-energy-momentum pseudo-tensor for the gravitational fields of Brans-Dicke theory, and use this to establish rigorously conserved integral expressions for energy-momentum Pⁱ and angular momentum J^ik. Application of the two-dimensional surface integrals to the exact static spherical vacuum solution of Brans leads to an identification of our conserved mass with the active gravitational mass. Application to the distant fields of an arbitrary stationary source reveals that Pⁱ and J^ik have the same physical interpretation as in general relativity. For gravitational waves whose wavelength is small on the scale of the background radius of curvature, averaging over several wavelengths in the Brill-Hartle-Isaacson manner produces a stress-energy-momentum tensor for gravitational radiation which may be used to calculate the changes in Pⁱ and J^ik of their source.

In Part II, we develop strong evidence in favor of a conjecture by Penrose--that, in the Brans-Dicke theory, relativistic gravitational collapse in three dimensions produce black holes identical to those of general relativity. After pointing out that any black hole solution of general relativity also satisfies Brans-Dicke theory, we establish the Schwarzschild and Kerr geometries as the only possible spherical and axially symmetric black hole exteriors, respectively. Also, we show that a Schwarzschild geometry is necessarily formed in the collapse of an uncharged sphere.

Appendices discuss relationships among relativistic gravity theories and an example of a theory in which black holes do not exist.

Tsunamis - a model of their generation and propagation

A general solution is presented for water waves generated by an arbitrary movement of the bed (in space and time) in a two-dimensional fluid domain with a uniform depth. The integral solution which is developed is based on a linearized approximation to the complete (nonlinear) set of governing equations. The general solution is evaluated for the specific case of a uniform upthrust or downthrow of a block section of the bed; two time-displacement histories of the bed movement are considered.

An integral solution (based on a linear theory) is also developed for a three-dimensional fluid domain of uniform depth for a class of bed movements which are axially symmetric. The integral solution is evaluated for the specific case of a block upthrust or downthrow of a section of the bed, circular in planform, with a time-displacement history identical to one of the motions used in the two-dimensional model.

Since the linear solutions are developed from a linearized approximation of the complete nonlinear description of wave behavior, the applicability of these solutions is investigated. Two types of non-linear effects are found which limit the applicability of the linear theory: (1) large nonlinear effects which occur in the region of generation during the bed movement, and (2) the gradual growth of nonlinear effects during wave propagation.

A model of wave behavior, which includes, in an approximate manner, both linear and nonlinear effects is presented for computing wave profiles after the linear theory has become invalid due to the growth of nonlinearities during wave propagation.

An experimental program has been conducted to confirm both the linear model for the two-dimensional fluid domain and the strategy suggested for determining wave profiles during propagation after the linear theory becomes invalid. The effect of a more general time-displacement history of the moving bed than those employed in the theoretical models is also investigated experimentally.

The linear theory is found to accurately approximate the wave behavior in the region of generation whenever the total displacement of the bed is much less than the water depth. Curves are developed and confirmed by the experiments which predict gross features of the lead wave propagating from the region of generation once the values of certain nondimensional parameters (which characterize the generation process) are known. For example, the maximum amplitude of the lead wave propagating from the region of generation has been found to never exceed approximately one-half of the total bed displacement. The gross features of the tsunami resulting from the Alaskan earthquake of 27 March 1964 can be estimated from the results of this study.

Os anfíbios da restinga de Grumari, RJ, Brasil, e a comunidade de folhiço em duas zonas arbóreas

Apesar dos habitats de restinga representarem aproximadamente 5.000 km da costa brasileira, o conhecimento disponível sobre a composição da fauna de anuros nestes habitats ainda é restrito a poucas áreas. Estes habitats encontram-se sob intensa pressão imobiliária, com uma densidade demográfica cinco vezes maior do que a média do país, levando a uma ocupação descomedida, degradação e eventual perda destes importantes habitats. Isso é especialmente preocupante para as populações de vertebrados terrestres endêmicos e ameaçados de extinção, devido à dificuldade de recuperação da vegetação das restingas. Atualmente, os remanescentes de restinga ao longo da costa brasileira são representados por fragmentos completamente isolados. Esta é a primeira aproximação da lista de anfíbios da restinga de Grumari, inserida no Parque Natural Municipal de Grumari (PNMG), município do Rio de Janeiro, sudeste do Brasil. É também a primeira pesquisa a analisar a comunidade de anuros de folhiço, e a obter dados de densidade, para as restingas brasileiras. A área está situada no Domínio da Mata Atlântica. O estudo foi conduzido de maio de 2009 a dezembro de 2010 utilizando dois métodos de amostragem: parcelas grandes ou plots de 16 m (4x4 m) e transecções visuais/acústicas. Registramos 22 espécies de anfíbios anuros distribuídas em seis famílias: Leptodactylidae (3), Craugastoridae (1), Bufonidae (1), Strabomantidae (1), Microhylidae (2) e Hylidae (14). Ocorreram dez espécies de anuros de folhiço em 2560 m de chão de floresta amostrados com a metodologia de parcelas grandes durante o estudo. Na zona fechada de pós-praia ocorreram apenas sete espécies de anuros de folhiço, enquanto na mata de restinga ocorreram as dez espécies registradas para a restinga. A densidade geral estimada de anuros de folhiço para a restinga de Grumari foi de 13,1 indivíduos por 100m, superior a cinco de seis estudos publicados com dados de densidade de anuros de folhiço na Mata Atlântica. A biomassa total estimada foi de 13131 g/ha, podendo ser considerada a maior biomassa de anurofauna de folhiço globalmente. Não houve diferença estatisticamente significativa entre as zonas quanto aos parâmetros da comunidade (riqueza, densidade e biomassa), mesmo havendo diferença entre os parâmetros ambientais mensurados nas duas zonas. Os fatores que melhor explicaram a riqueza, a densidade e a biomassa na restinga de Grumari durante a estação chuvosa foram, respectivamente, a temperatura, o diâmetro das árvores/arbustos e o número de árvores/arbustos. A presença de espécies ameaçadas de extinção e endêmicas para o estado do Rio de Janeiro e Mata Atlântica evidencia que a restinga de Grumari é uma área essencial para a conservação da anurofauna dos remanescentes deste habitat no Brasil. Além disso, Grumari é a restinga com maior riqueza de espécies do estado e a segunda maior entre todas as áreas de restinga estudadas até o momento, quanto à anurofauna.

Possible antigravity regions in F (R) theory?

We construct an F(R) gravity theory corresponding to the Weyl invariant two scalar field theory. We investigate whether such F (R) gravity can have the antigravity regions where the Weyl curvature invariant does not diverge at the Big Bang and Big Crunch singularities. It is revealed that the divergence cannot be evaded completely but can be much milder than that in the original Weyl invariant two scalar field theory. (C) 2014 The Authors. Published by Elsevier B.V.

Quantum Emulation of Gravitational Waves

Gravitational waves, as predicted by Einstein's general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We prove that the propagation of small amplitude gravitational waves in a curved spacetime is equivalent to the propagation of a subspace of electromagnetic states. We use this result to propose the use of entangled photons to emulate the evolution of gravitational waves in curved spacetimes by means of experimental electromagnetic setups featuring metamaterials.

O par post/comentário em rede social: um estudo a partir da noção de gêneros textuais

Nos dias de hoje, podemos constatar o crescimento das formas de linguagem mediadas pelas tecnologias da informação e comunicação. É em torno dessa constatação e nesse contexto que esta dissertação se insere. Seu tema é a caracterização do par post/comentário à luz da noção de gêneros textuais. Nosso objetivo é refletir sobre o referido, a fim de responder os seguintes questionamentos: (a) se post e comentário são dois gêneros textuais ou partes de um mesmo fenômeno de comunicação/gênero; (b) se são gêneros, como caracterizá-los e diferenciá-los; (c) não sendo o post um novo gênero textual, que especificidades podem caracterizá-lo como ferramenta e quais os aspectos que o vinculam ao gênero comentário. A fim de respondê-los, nossa opção metodológica foi por um estudo documental de cunho qualitativo. Este consistiu na coleta de publicações feitas no perfil da pesquisadora na rede social Facebook por diferentes sujeitos, no período pré e pós eleições brasileiras de 2014, especificamente no mês de outubro. Os posts e comentários selecionados referem-se exclusivamente à temática das eleições presidenciais. Entendemos que as redes sociais têm sido grandes incentivadoras à produção escrita e, consequentemente, promotoras de atividades de compreensão leitora. E, no que concerne em particular ao tema escolhido, acolheram e fomentaram intensos debates. As reflexões sobre leitura, portanto, perpassam este trabalho porque, ao pensarmos no nascimento e uso de um gênero, pensamos, também, em sua recepção, logo, nos processos leitores envolvidos. Para analisar os dados, utilizamos a proposta de Donato (2014), discutindo os quatro pilares constituintes do gênero função comunicativa, forma, conteúdo e suporte, e também pensando em três níveis: o da produção, recepção e contextualização. Como base teórico-metodológica seguimos a perspectiva da sociocognição, calcada especialmente nos estudos de Marcuschi (2005, 2008, 2010), Koch (1996, 2003) e Koch e Elias (2008, 2013), assim como fundamentos de Bakhtin (1997) sobre o caráter sócio-histórico dos gêneros. A título de conclusão, segundo nossas análises, salientamos a interdependência dos elementos do par estudado. No entanto, defendemos a delimitação do post enquanto gênero textual eminentemente digital e não apenas uma ferramenta ou parte do gênero comentário

Colapso gravitacional na teoria de Hořava-Lifshitz no limite infravermelho

O objetivo desta tese é verificar se algumas soluções de matéria da teoria da relatividade geral também satisfazem as equações da teoria de Horava-Lifshitz no limite infravermelho. Para isso, partimos das soluções mais simples possíveis, tais como é o caso de um fluido de radiação nula e de poeira, conhecidas na relatividade geral, e encontramos que estas não correspondem a quaisquer soluções na teoria de gravitação de Hořava-Lifshitz para o limite de baixas energias, infravermelho, no qual esta teoria deveria se reduzir à anterior. Este resultado nos remete a novos desafios na direção de ajustes teóricos que permitam que esta teoria descreva corretamente tanto o cenário cosmológico quanto o de formação de estruturas, estáveis ou colapsadas. Para tornar o trabalho mais claro, é feita uma introdução à teoria de Hořava- Lifshitz, tema central deste trabalho, e como ela se acopla com a matéria.

Bayesian approach to signal modelling

In this paper, an introduction to Bayesian methods in signal processing will be given. The paper starts by considering the important issues of model selection and parameter estimation and derives analytic expressions for the model probabilities of two simple models. The idea of marginal estimation of certain model parameter is then introduced and expressions are derived for the marginal probability densities for frequencies in white Gaussian noise and a Bayesian approach to general changepoint analysis is given. Numerical integration methods are introduced based on Markov chain Monte Carlo techniques and the Gibbs sampler in particular.

The Bayesian Approach to Signal Modelling

In this paper, an introduction to Bayesian methods in signal processing will be given. The paper starts by considering the important issues of model selection and parameter estimation and derives analytic expressions for the model probabilities of two simple models. The idea of marginal estimation of certain model parameter is then introduced and expressions are derived for the marginal probabilitiy densities for frequencies in white Gaussian noise and a Bayesian approach to general changepoint analysis is given. Numerical integration methods are introduced based on Markov chain Monte Carlo techniques and the Gibbs sampler in particular.

Fourier analysis and gabor filtering for texture analysis and local reconstruction of general shapes

Since the pioneering work of Gibson in 1950, Shape- From-Texture has been considered by researchers as a hard problem, mainly due to restrictive assumptions which often limit its applicability. We assume a very general stochastic homogeneity and perspective camera model, for both deterministic and stochastic textures. A multi-scale distortion is efficiently estimated with a previously presented method based on Fourier analysis and Gabor filters. The novel 3D reconstruction method that we propose applies to general shapes, and includes non-developable and extensive surfaces. Our algorithm is accurate, robust and compares favorably to the present state of the art of Shape-From- Texture. Results show its application to non-invasively study shape changes with laid-on textures, while rendering and retexturing of cloth is suggested for future work. © 2009 IEEE.

Random function priors for exchangeable arrays with applications to graphs and relational data

A fundamental problem in the analysis of structured relational data like graphs, networks, databases, and matrices is to extract a summary of the common structure underlying relations between individual entities. Relational data are typically encoded in the form of arrays; invariance to the ordering of rows and columns corresponds to exchangeable arrays. Results in probability theory due to Aldous, Hoover and Kallenberg show that exchangeable arrays can be represented in terms of a random measurable function which constitutes the natural model parameter in a Bayesian model. We obtain a flexible yet simple Bayesian nonparametric model by placing a Gaussian process prior on the parameter function. Efficient inference utilises elliptical slice sampling combined with a random sparse approximation to the Gaussian process. We demonstrate applications of the model to network data and clarify its relation to models in the literature, several of which emerge as special cases.

Probability-Matching Predictors for Extreme Extremes

A location- and scale-invariant predictor is constructed which exhibits good probability matching for extreme predictions outside the span of data drawn from a variety of (stationary) general distributions. It is constructed via the three-parameter {\mu, \sigma, \xi} Generalized Pareto Distribution (GPD). The predictor is designed to provide matching probability exactly for the GPD in both the extreme heavy-tailed limit and the extreme bounded-tail limit, whilst giving a good approximation to probability matching at all intermediate values of the tail parameter \xi. The predictor is valid even for small sample sizes N, even as small as N = 3. The main purpose of this paper is to present the somewhat lengthy derivations which draw heavily on the theory of hypergeometric functions, particularly the Lauricella functions. Whilst the construction is inspired by the Bayesian approach to the prediction problem, it considers the case of vague prior information about both parameters and model, and all derivations are undertaken using sampling theory.

Post-growth and in situ annealing on GaInNAs(Sb) and their application in 1.55 mu m lasers

Rapid thermal annealing (RTA) has been demonstrated as an important way to improve the crystal quality of GaInNAs(Sb)/GaAs quantum wells. However little investigation has been made into their application in laser growth, especially at a wavelength of 1.55 mu m. When a GaAs-based laser is grown, AlGaAs is usually used for cladding layers. The growth of the p-cladding layer usually takes 30-45 min at a growth temperature higher than that of the GaInNAs(Sb) active region, which affects the material quality. To investigate this effect, various post-growth annealing processes were performed to simulate this process. Great enhancement of the PL intensity was obtained by a two-step process which consisted of annealing first at 700 degrees C for 60 s and then at 600 degrees C for 45 min. We transferred this post-growth annealing to in situ annealing. Finally, a GaInNAsSb laser was grown with a 700 degrees C in situ annealing process. Continuous operation at room temperature of a GaAs-based dilute nitride laser with a wavelength beyond 1.55 mu m was realized for the first time.

Formation of nano-crystalline corrosion products on Zn-Al alloy coating exposed to seawater

Hot dip Zn-Al alloy coating performs better than hot dip galvanized coating and 55% Al-Zn-Si coating as well with regard to general seawater corrosion protection. A characterization of the corrosion products on Zn-Al alloy coating immersed in dynamic aerated seawater has been performed mainly based on transmission electron microscopy (TEM) for morphological analysis and X-ray diffraction (XRD) technique for crystalline phase identification. The XRD and TEM analyses showed that the corrosion products mainly were typical nanometer Zn4CO3(OH)(6).H2O, Zn-5(OH)(8)Cl-2 and Zn6Al2CO3(OH)(16). 4H(2)O microcrystals. This probably is connected to the co-precipitation of Zn2+ and Al3+ ions caused by adsorption. Zn-Al alloy coating being suffered seawater attacks, AI(OH)(3) gel was first produced on the coating surface. Zn and Al hydroxides would co-precipitate and form double-hydroxide when the concentration of adsorbed Zn2+ ions by the newly produced gel exceeded the critical degree of supersaturation of the interphase nucleation. However, because the growth of the crystals was too low to keep in step with the nucleation, a layer of nano-crystalline corrosion products were produced on the surface of the coating finally. (C) 2001 Elsevier Science Ltd. All rights reserved.

Swimming in Space-Time

Cyclic changes in the shape of a quasi-rigid body on a curved manifold can lead to net translation and/or rotation of the body in the manifold. Presuming space-time is a curved manifold as portrayed by general relativity, translation in space can be accomplished simply by cyclic changes in the shape of a body, without any thrust or external forces.