Static Spherically Symmetric Solutions in F(R) Gravity
General Relativity and Quantum Cosmology
2015-09-21 v3 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
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 -gravity. All known exact solutions are recovered. We also exibit a new non trivial solution with non constant Ricci scalar.
Keywords
Cite
@article{arxiv.1012.5230,
title = {Static Spherically Symmetric Solutions in F(R) Gravity},
author = {Lorenzo Sebastiani and Sergio Zerbini},
journal= {arXiv preprint arXiv:1012.5230},
year = {2015}
}
Comments
8 pages, published version, some references added, a minor modification