A new framework for studying spherically symmetric static solutions in f(R) gravity

Details A new framework for studying spherically symmetric static solutions in f(R) gravity A new framework for studying spherically symmetric static solutions in f(R) gravity

2009-08-23

arxiv.org/abs/0908.3333v2

Phys.Rev.D81:084028,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

10.1103/PhysRevD.81.084028

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general f(R)-gravity. These equations are used to determine the conditions for which the Schwarzschild metric is the only vacuum solution with vanishing Ricci scalar. We also show that our general framework provides a clear way of showing that the Schwarzschild solution is not a unique static spherically symmetric solution, providing some incite on how the current form of Birkhoff's theorem breaks down for these theories.

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