Topological Static Spherically Symmetric vacuum Solutions in F(R,G) Gravity
Abstract
The Lagrangian derivation of the Equations of Motion for topological static spherically symmetric metrics in
F(R,G)
-modified gravity is presented and the related solutions are discussed. In particular, a new topological solution for the model
F(R,G)=R+
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.