Jebsen-Birkhoff theorem and its stability in f(R) gravity

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.

11 pages, Revtex4-1. arXiv admin note: text overlap with arXiv:1101.4520

References in corpus (3)

• A covariant approach for perturbations of rotationally symmetric spacetimes
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• Z_3 Symmetry and Neutrino Mixing in Type II Seesaw

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