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arXiv · 1211.0692

Stellar Structure Equations in Extended Palatini Gravity

Gonzalo J. Olmo·Helios Sanchis-Alepuz·Swapnil Tripathi
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Abstract

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form $f(R,R_{μν}R^{μν})$. We obtain the Tolman-Oppenheimer-Volkov equations corresponding to this class of theories and show that they recover those of $f(R)$ theories and General Relativity in the appropriate limits. We show that the exterior vacuum solutions are of Schwarzschild-de Sitter type and comment on the possible expected modifications, as compared to GR, of the interior solutions.

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Gonzalo J. Olmo, Helios Sanchis-Alepuz, Swapnil Tripathi. 2012-11-04. Stellar Structure Equations in Extended Palatini Gravity. https://doi.org/10.1103/physrevd.86.104039

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