Topological electro-vacuum solutions in extended gravity

Abstract

Spherically symmetric static topological black hole solutions associated with some extended higher order gravitational models in the presence of a Maxwell-field are derived by means of simple Lagrangian method, based on spherically symmetric reduction. Some new topological black hole solutions are presented and the validity of the First Law is investigated, and in these cases an expression for the energy is provided.

17 pages, published version

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Cited by in corpus (11)

• Some aspects of generalized modified gravity models
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity
• Thermodynamics of topological black holes in $R^2$ gravity
• Action growth for black holes in modified gravity
• Non-Singular Black Holes and mass inflation in modified gravity
• Testing horizon topology with electromagnetic observations
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• More Exact Thermodynamic Analysis of Topological Black Holes in $R^2$ Gravity