Static Solutions for 4th order gravity

Details Static Solutions for 4th order gravity Static Solutions for 4th order gravity

2010-10-19

arxiv.org/abs/1010.3986v2

Phys.Rev.D82:104026,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, minor changes to match published version

Scientific paper

10.1103/PhysRevD.82.104026

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

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