Charged slowly rotating toroidal black holes in the (1+3)-dimensional Einstein-power-Maxwell theory

Abstract

In this work we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly we obtain an approximate analytical solution in the small rotation limit. The solution obtained is characterized by a flat horizon structure, and it corresponds to a toroidal black hole. The Smarr's formula, the thermodynamics and the invariants Ricci scalar and Kretschmann scalar are briefly discussed.

v3: References added

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• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Black Holes with Abelian and Non-Abelian Charges and Their Impact on Matter Accretion Flows
• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory
• General Framework for the Spontaneous Scalarization of Regular Black Holes
• Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics
• Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics