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

TL;DR

This paper derives approximate analytical solutions for charged, slowly rotating toroidal black holes within four-dimensional Einstein-power-Maxwell theory with a negative cosmological constant, analyzing their thermodynamics and invariants.

Contribution

It presents the first explicit approximate solutions for charged, slowly rotating toroidal black holes in Einstein-power-Maxwell theory with a negative cosmological constant.

Findings

Solutions exhibit flat horizon structure.

Black holes are characterized as toroidal.

Thermodynamic properties are briefly analyzed.

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.