Static Spherically Symmetric Solutions in Extended Palatini Gravity
General Relativity and Quantum Cosmology
2012-11-06 v1
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_{\mu\nu}R^{\mu\nu}). 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 compute exterior vacuum solutions and comment on the possible expected modifications, as compared to GR, of the interior solutions.
Keywords
Cite
@article{arxiv.1211.0690,
title = {Static Spherically Symmetric Solutions in Extended Palatini Gravity},
author = {Gonzalo J. Olmo and Helios Sanchis-Alepuz and Swapnil Tripathi},
journal= {arXiv preprint arXiv:1211.0690},
year = {2012}
}
Comments
3 pages, ws-procs975x65.cls, corrects some typos present in the published version of the Proceedings of 12th Marcel Grossmann Meeting, Paris (France)