Jebsen-Birkhoff theorem and its stability in f(R) gravity
General Relativity and Quantum Cosmology
2015-06-18 v1 Solar and Stellar Astrophysics
High Energy Physics - Theory
Abstract
We prove a Jebsen-Birkhoff like theorem for f(R) theories of gravity in order to to find the necessary conditions required for the existence of the Schwarzschild solution in these theories and demonstrate that the rigidity of such solutions of f(R) gravity is valid even in the perturbed scenario.
Keywords
Cite
@article{arxiv.1312.6790,
title = {Jebsen-Birkhoff theorem and its stability in f(R) gravity},
author = {Anne Marie Nzioki and Rituparno Goswami and Peter K. S. Dunsby},
journal= {arXiv preprint arXiv:1312.6790},
year = {2015}
}
Comments
11 pages, Revtex4-1. arXiv admin note: text overlap with arXiv:1101.4520