Lovelock Black Holes and Nonlinear Electrodynamics

Abstract

This work is based on the investigation of nonlinearly charged and power-Yang-Mills black holes. In this setup, first we use the limiting curvature conjecture and derive spherically symmetric nonsingular black hole solutions in the framework of nonlinear electrodynamics. The metric describing asymptotic Hayward or sandwich black hole with magnetic charge is worked out in terms of the parameter of nonlinear electrody namics. When this parameter vanishes our solution reduces to the Hayward metric. After this we study circularly symmetric (2 + 1)-dimensional black holes of Einstein’s theory coupled with Born-Infeld type electrodynamic theories. In the first case we use exponential electrodynamics and find magnetically charged (2 + 1)-dimensional black hole solution in terms of magnetic charge q and nonlinearity parameter β. In the second case, we use arcsin electrodynamics and derive the associated (2 + 1)-dimensional black hole solution in terms of electric charge Q and the parameter β. After discussing the black holes of Einstein’s theory, we study the power-Yang-Mills black holes surrounded by Chaplygin-like dark fluid in Lovelock gravity. In this context, we derive the polyno mial equation generating Lovelock black hole solutions sourced by Chaplygin-like dark fluid and power-Yang-Mills field. In particular, we work out the metric functions in both d-dimensional Einstein and Gauss-Bonnet gravities as well. In addition to this, we also discuss the magnetized black holes of dimensionally continued gravity in the frame work of exponential electrodynamics and power-Yang-Mills theory. These dimensionally continued black hole solutions are then further extended to the case of Lovelock-scalar gravity within the framework of these two matter sources. Recently the quartic quasi topological black holes have also attracted much attention. Therefore, we also discuss the power-Yang-Mills black holes in the framework of this higher curvature gravity. Fur thermore, the black holes of pure quasi-topological gravity with power-Yang-Mills source and rotating black branes are also studied. Recently a new model of nonlinear Maxwell electrodynamics known as the ModMAx model has been formulated. This formulation preserves both conformal and SO(2) duality-rotational invariance in four dimensions. We consider this model as a matter source and investigate black holes of the novel four-dimensional Einstein-Gauss-Bonnet gravity. The study of thermodynamic properties is also one of the important issues in the area of black hole physics. Like Maxwellian charged black holes, thermodynamics of black holes has gained much interest in the context of nonlinear matter sources as well. Hence, we also discuss thermodynamic properties associated with the solutions obtained in this work under the effects of different matter sources, for example, nonlinear electromagnetic and power-Yang-Mills fields.