Deflexão de fótons pelo sol no contexto da teoria de gravitação R+R2

Pós-graduação em Física - IFT

Estudo das feições estruturais e tectônicas do nordeste do estado de São Paulo e sudoeste do estado de Minas Gerais através da gravimetria

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Análise, modelagem e interpretação de dados gravimétricos no lineamento Guapiara - região sudeste do estado de São Paulo

Pós-graduação em Geologia Regional - IGCE

Dinâmica gravitacional em modelo de 3-brana aplicada às curvas de rotação de galáxias

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo clássico completo do formalismo de Hamilton-Jacobi

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo dos altos estruturais de Pitanga, Artemis, Pau D'Alho e Jibóia (flanco nordeste da bacia sedimentar do Paraná), através dos métodos geofísicos da gravimetria e magnetometria terrestres

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O mecanismo atrator e a função entropia de Sen para buracos negros

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Potencial gravitacional lunar

We know that the orbit of a lunar satellite, and consequently its orbital lifetime is mainly inuenced by the gravitational field of the Moon, Earth and Sun. In this text we study the Lunar gravitational potential and its influence on the gravitational field. We adapted a program in order to map the Moon gravitational field. To that end it was necessary to develop a program that allows the simulation and mapping the lunar full potential. Our program was based on the program developed by Hélio Kuga, and adapted to our case (Moon). We used the model proposed by Konopliv et al. 2001, we proposed various degree and order expansions of spherical harmonics that served us to compare and validate our program

Potencial gravitacional lunar

We know that the orbit of a lunar satellite, and consequently its orbital lifetime is mainly inuenced by the gravitational field of the Moon, Earth and Sun. In this text we study the Lunar gravitational potential and its influence on the gravitational field. We adapted a program in order to map the Moon gravitational field. To that end it was necessary to develop a program that allows the simulation and mapping the lunar full potential. Our program was based on the program developed by Hélio Kuga, and adapted to our case (Moon). We used the model proposed by Konopliv et al. 2001, we proposed various degree and order expansions of spherical harmonics that served us to compare and validate our program

Teorias f(R) de gravidade na formulação de Palatini

In this dissertation, after a brief review on the Einstein s General Relativity Theory and its application to the Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological models, we present and discuss the alternative theories of gravity dubbed f(R) gravity. These theories come about when one substitute in the Einstein-Hilbert action the Ricci curvature R by some well behaved nonlinear function f(R). They provide an alternative way to explain the current cosmic acceleration with no need of invoking neither a dark energy component, nor the existence of extra spatial dimensions. In dealing with f(R) gravity, two different variational approaches may be followed, namely the metric and the Palatini formalisms, which lead to very different equations of motion. We briefly describe the metric formalism and then concentrate on the Palatini variational approach to the gravity action. We make a systematic and detailed derivation of the field equations for Palatini f(R) gravity, which generalize the Einsteins equations of General Relativity, and obtain also the generalized Friedmann equations, which can be used for cosmological tests. As an example, using recent compilations of type Ia Supernovae observations, we show how the f(R) = R − fi/Rn class of gravity theories explain the recent observed acceleration of the universe by placing reasonable constraints on the free parameters fi and n. We also examine the question as to whether Palatini f(R) gravity theories permit space-times in which causality, a fundamental issue in any physical theory [22], is violated. As is well known, in General Relativity there are solutions to the viii field equations that have causal anomalies in the form of closed time-like curves, the renowned Gödel model being the best known example of such a solution. Here we show that every perfect-fluid Gödel-type solution of Palatini f(R) gravity with density and pressure p that satisfy the weak energy condition + p 0 is necessarily isometric to the Gödel geometry, demonstrating, therefore, that these theories present causal anomalies in the form of closed time-like curves. This result extends a theorem on Gödel-type models to the framework of Palatini f(R) gravity theory. We derive an expression for a critical radius rc (beyond which causality is violated) for an arbitrary Palatini f(R) theory. The expression makes apparent that the violation of causality depends on the form of f(R) and on the matter content components. We concretely examine the Gödel-type perfect-fluid solutions in the f(R) = R−fi/Rn class of Palatini gravity theories, and show that for positive matter density and for fi and n in the range permitted by the observations, these theories do not admit the Gödel geometry as a perfect-fluid solution of its field equations. In this sense, f(R) gravity theory remedies the causal pathology in the form of closed timelike curves which is allowed in General Relativity. We also examine the violation of causality of Gödel-type by considering a single scalar field as the matter content. For this source, we show that Palatini f(R) gravity gives rise to a unique Gödeltype solution with no violation of causality. Finally, we show that by combining a perfect fluid plus a scalar field as sources of Gödel-type geometries, we obtain both solutions in the form of closed time-like curves, as well as solutions with no violation of causality

Gravitomagnetismo e o teste da sonda gravidade B

The so-called gravitomagnetic field arised as an old conjecture that currents of matter (no charges) would produce gravitational effects similar to those produced by electric currents in electromagnetism. Hans Thirring in 1918, using the weak field approximation to the Einsteins field equations, deduced that a slowly rotating massive shell drags the inertial frames in the direction of its rotation. In the same year, Joseph Lense applied to astronomy the calculations of Thirring. Later, that effect came to be known as the Lense- Thirring effect. Along with the de Sitter effect, those phenomena were recently tested by a gyroscope in orbit around the Earth, as proposed by George E. Pugh in 1959 and Leonard I. Schiff in 1960. In this dissertation, we study the gravitational effects associated with the rotation of massive bodies in the light of the Einsteins General Theory of Relativity. With that finality, we develop the weak field approximation to General Relativity and obtain the various associated gravitational effects: gravitomagnetic time-delay, de Sitter effect (geodesic precession) and the Lense-Thirring effect (drag of inertial frames). We discus the measures of the Lense-Thirring effect done by LAGEOS Satellite (Laser Geodynamics Satellite) and the Gravity Probe B - GPB - mission. The GPB satellite was launched into orbit around the Earth at an altitude of 642 km by NASA in 2004. Results presented in May 2011 clearly show the existence of the Lense-Thirring effect- a drag of inertial frames of 37:2 7:2 mas/year (mas = milliarcsec)- and de Sitter effect - a geodesic precession of 6; 601:8 18:3 mas/year- measured with an accuracy of 19 % and of 0.28 % respectively (1 mas = 4:84810��9 radian). These results are in a good agreement with the General Relativity predictions of 41 mas/year for the Lense-Thirring effect and 6,606.1 mas/year for the de Sitter effect.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

Efecto de diferentes residuos de origen vegetal y animal en algunas caracteristicas fisica, quimica y biológica del compost. Hacienda Las Mercedes, Managua, 2005

El estudio del efecto de diferentes residuos orgánicos de origen vegetal y animal en algunas características física, química y biológica del compost. Los objetivos fueron: C ontribuir a la búsqueda de alternativas de reciclaje de diferentes materiales de origen vegetal, animal y que contenga buenas características físicas, q uímicas y biológicas, evaluar el efecto de diferentes materiales orgánicos (pulpa de café, aserrín, basura verde + cascarilla de arroz, abono verde + cascarilla de arroz y residuos del comedor) sobre algunas propiedades químicas, físicas y biológicas del c ompost y determinar cuál de las mezclas orgánicas evaluadas (pulpa de café, aserrín, basura verde + cascarilla de arroz, abono verde + cascarilla de arroz y residuos del comedor) contribuyen a mejorar algunas de las propiedades químicas, físicas y biológic as del compost. Se estableció en la Hacienda Las Mercedes, propiedad de la Universidad Nacional Agraria, ubicada en el Km. 11 y ½ carretera norte, 1 Km. al lago frente a la empresa CARNIC en la localidad Las Mercedes perteneciente al departamento de Mana gua. Está finca se ubica geográficamente a los 12º8 ́36 ́ ́ latitud norte y 86º09 ́49 ́ ́ longitud oeste a una altitud de 56 msnm. El estudio comprendió cinco tratamientos y tres repeticiones: los cinco tratamientos compuestos de: basura seca recogida de la Ha cienda Las Mercedes, estiércol, cal y sica (carbón vegetal) en común; el tratamiento uno se diferenciaba por la presencia de pulpa de café, el dos por tener aserrín, el tres con basura verde más cascarilla de arroz, el cuatro con abono verde más cascarill a de arroz y el quinto con residuos provenientes del comedor de la Universidad Nacional Agraria. Se evaluaron las siguientes variables: temperatura, humedad, fitoxicidad , Contenido de macro y micro elementos y d iversidad de hongos y bacterias en el proce so de compostaje . El aná lisis estadístico utilizado fue el análisis de varianza a la variable: análisis químico, se realizó separación de medias por TUKEY al 5% de probabilidad de error. A las variables humedad, toxicidad y análisis microbiológico se les realizó un análisis cualitativo. La variable temperatura se le realizó análisis de varianz a a través del MANOVA. Se obtuvieron los siguientes resultados: existe diferencia significativa entre los tratamientos en la variable temperatura siendo la pulp a de café el material orgánico que favorece mayor actividad microbiana y que permitió obtener temperaturas más altas que el resto de mezclas . La pasteurización del abono se logró a través de que la temperatura entre 45 ºC y 50 ºC fue por un tiempo prolon gado. Según el resultado del análisis químico realizado en el laboratorio de suelos y aguas de la UNA indican por que los rangos de humedad al final del ensayo se mantuvieron dentro de los parámetros óptimos (50 - 65 %). Todos los tratamientos tienen una r elación carbono/nitrógeno alta, las que varían entre 79:1 a 60:1. Todas las mezclas tienen estabilidad, no hay presencia de sustancias fitotóxicas. En todos los tratamientos se obtiene una germinación arriba del 90 por ciento. La presencia de bacterias y hongos estuvo durante todo el proceso de descomposición, siendo menor el número de especies de hongos encontrados por tratamiento a los 30 días que a los 90 días. Entre las bacterias más encontradas están las del género Bacillus.