Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 71, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-011-1591-8
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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.
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