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arXiv · 1208.3392

Topological Static Spherically Symmetric vacuum Solutions in $\mathcal F(R,G)$ Gravity

Ratbay Myrzakulov·Lorenzo Sebastiani·Sergio Zerbini
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Abstract

The Lagrangian derivation of the Equations of Motion for topological static spherically symmetric metrics in $\mathcal F (R,G)$-modified gravity is presented and the related solutions are discussed. In particular, a new topological solution for the model $\mathcal F (R,G)=R+\sqrt{G}$ is found. The black hole solutions and the First Law of thermodynamic are analyzed. Furthermore, the coupling with electromagnetic field is also considered and a Maxwell solution is derived.

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Ratbay Myrzakulov, Lorenzo Sebastiani, Sergio Zerbini. 2013-01-14. Topological Static Spherically Symmetric vacuum Solutions in $\mathcal F(R,G)$ Gravity. https://doi.org/10.1007/s10714-012-1493-6

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