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

Mover/se(r) a gênese do corpo entre/corpos e seus trajetos no processo coreográfico

This paper proposes a reflection on the body between/bodies, especially in contemporary dance, in their path that starts from the choreographic construction, permeating the body of the choreographer, the dancer s body and when fulfills themselves as artistic expression, the body of the spectator. Initially discusses the body in dance as a body/space for convergence, connectedness and continuity, from the thought of the Greek philosopher Epicurus of Samos, in dialogue with the thought of Maurice Merleau-Ponty, Gilles Deleuze and José Gil. Reflect about the creation of this body/space in the relationship choreographer/dancer using as connecting thread the experiences of the author in his artistic path. Finally describes the process of creating the scenic experiment (h)áporos, which constitutes the practice scene of this dissertation, having as main objective the creation of spaces of convergence and interaction between a proponent and an affluent body that, in this move, transforms itself and the space that now cohabits / is

Mover/se(r) a gênese do corpo entre/corpos e seus trajetos no processo coreográfico

This paper proposes a reflection on the body between/bodies, especially in contemporary dance, in their path that starts from the choreographic construction, permeating the body of the choreographer, the dancer s body and when fulfills themselves as artistic expression, the body of the spectator. Initially discusses the body in dance as a body/space for convergence, connectedness and continuity, from the thought of the Greek philosopher Epicurus of Samos, in dialogue with the thought of Maurice Merleau-Ponty, Gilles Deleuze and José Gil. Reflect about the creation of this body/space in the relationship choreographer/dancer using as connecting thread the experiences of the author in his artistic path. Finally describes the process of creating the scenic experiment (h)áporos, which constitutes the practice scene of this dissertation, having as main objective the creation of spaces of convergence and interaction between a proponent and an affluent body that, in this move, transforms itself and the space that now cohabits / is