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arXiv · 1212.1342

Palatini approach to modified f(R) gravity and its bi-metric structure

Janilo Santos·Crislane de Souza Santos
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Abstract

f(R) gravity theories in the Palatini formalism has been recently used as an alternative way to explain the observed late-time cosmic acceleration with no need of invoking either dark energy or extra spatial dimension. However, its applications have shown that some subtleties of these theories need a more profound examination. Here we are interested in the conformal aspects of the Palatini approach in extended theories of gravity. As is well known, extremization of the gravitational action a la Palatini, naturally "selects" a new metric h related to the metric g of the subjacent manifold by a conformal transformation. The related conformal function is given by the derivative of f(R). In this work we examine the conformal symmetries of the flat (k=0) FLRW spacetime and find that its Conformal Killing Vectors are directly linked to the new metric h and also that each vector yields a different conformal function.

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Janilo Santos, Crislane de Souza Santos. 2012-12-06. Palatini approach to modified f(R) gravity and its bi-metric structure. https://doi.org/10.1063/1.4756822

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