Static Solutions for 4th order gravity
General Relativity and Quantum Cosmology
2010-12-28 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
The Lichnerowicz and Israel theorems are extended to higher order theories of gravity. In particular it is shown that Schwarzschild is the unique spherically symmetric, static, asymptotically flat, black-hole solution, provided the spatial curvature is less than the quantum gravity scale outside the horizon. It is then shown that in the presence of matter (satisfying certain positivity requirements), the only static and asymptotically flat solutions of General Relativity that are also solutions of higher order gravity are the vacuum solutions
Keywords
Cite
@article{arxiv.1010.3986,
title = {Static Solutions for 4th order gravity},
author = {William Nelson},
journal= {arXiv preprint arXiv:1010.3986},
year = {2010}
}
Comments
19 pages, minor changes to match published version