Eur. Phys. J. C (2011) 71: 1591
https://doi.org/10.1140/epjc/s10052-011-1591-8

Regular Article - Theoretical Physics

Static spherically symmetric solutions in F(R) gravity

¹ Dipartimento di Fisica, Università di Trento, Trento, Italy
² Gruppo Collegato di Trento, Istituto Nazionale di Fisica Nucleare, Sezione di Padova, Padova, Italy

^* e-mail: l.sebastiani@science.unitn.it

Received: 29 December 2010
Revised: 26 January 2011
Published online: 22 March 2011

Abstract

A Lagrangian derivation of the Equations of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits one 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 exhibit a new non-trivial solution with non-constant Ricci scalar.