Spherically Symmetric Solutions to Fourth-Order Theories of Gravity

Details Spherically Symmetric Solutions to Fourth-Order Theories of Gravity Spherically Symmetric Solutions to Fourth-Order Theories of Gravity

2006-07-22

arxiv.org/abs/gr-qc/0607096v2

Class.Quant.Grav. 23 (2006) 7445

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, published version

Scientific paper

10.1088/0264-9381/23/24/015

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.

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