Static Spherically Symmetric Solutions in F(R) Gravity

Details Static Spherically Symmetric Solutions in F(R) Gravity Static Spherically Symmetric Solutions in F(R) Gravity

2010-12-23

arxiv.org/abs/1012.5230v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, published version, some references added, a minor modification

Scientific paper

A Lagrangian derivation of the Equation of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits to reduce the EOM to a single equation and we show how it is possible to construct exact solutions in $F(R)$-gravity. All known exact solutions are recovered. We also exibit a new non trivial solution with non constant Ricci scalar.

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