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arXiv · 1004.0150

Brane f(R) gravity cosmologies

Adam Balcerzak·Mariusz P. Dabrowski
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Abstract

By the application of the generalized Israel junction conditions we derive cosmological equations for the fourth-order $f(R)$ brane gravity and study their cosmological solutions. We show that there exists a non-static solution which describes a four-dimensional de-Sitter $(dS_4)$ brane embedded in a five-dimensional anti-de-Sitter $(AdS_5)$ bulk for a vanishing Weyl tensor contribution. On the other hand, for the case of a non-vanishing Weyl tensor contribution, there exists a static brane only. We claim that in order to get some more general non-static $f(R)$ brane configurations, one needs to admit a dynamical matter energy-momentum tensor in the bulk rather than just a bulk cosmological constant.

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Adam Balcerzak, Mariusz P. Dabrowski. 2010-07-20. Brane f(R) gravity cosmologies. https://doi.org/10.1103/physrevd.81.123527

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