Spherically Symmetric Solutions to Fourth-Order Theories of Gravity
General Relativity and Quantum Cosmology
2009-11-11 v2
Abstract
Gravitational theories generated from Lagrangians of the form f(R) are considered. The spherically symmetric solutions to these equations are discussed, paying particular attention to features that differ from the standard Schwarzschild solution. The asymptotic form of solutions is described, as is the lack of validity of Birkhoff's theorem. Exact solutions are presented which illustrate these points and their stability and geodesics are investigated.
Keywords
Cite
@article{arxiv.gr-qc/0607096,
title = {Spherically Symmetric Solutions to Fourth-Order Theories of Gravity},
author = {T. Clifton},
journal= {arXiv preprint arXiv:gr-qc/0607096},
year = {2009}
}
Comments
10 pages, published version