Static spherically symmetric solutions in F(R) gravity
By Lorenzo Sebastiani, Sergio Zerbini. 2010
162 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Oceanography
View Paper: https://www.semanticscholar.org/paper/b0538c7445afe0afc9a0bea08cd0321ba16e7c01
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In Astronomy and Astrophysics
- S. Vagnozzi
- Ratbay Myrzakulov
- Lorenzo Sebastiani
- Sergei D. Odintsov
- Emmanuel N. Saridakis
- Kazuharu Bamba
In Oceanography
Citations in the corpus
- Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics (2016, background): “The (0, 0)- and (1, 1)-components of the field equations (164) lead to (to derive the EOMs, one may plug the expression for the Ricci scalar directly into the action to obtain, after integration by parts [509], L = 2a(1 − rb(r) − b(r)) + a(r)r2λ(b(r)φ(r)2 + 1) − a(r)r2V(φ).”