Third order quasi-topological black hole with power-law Maxwell nonlinear source

TL;DR

This paper constructs new five-dimensional quasi-topological black hole solutions coupled with power-law Maxwell nonlinear electrodynamics, analyzing their properties, stability, and horizon structure in anti-de Sitter spacetime.

Contribution

It introduces a novel class of solutions for higher-dimensional black holes with nonlinear electrodynamics, exploring their thermodynamics and stability.

Findings

Solutions exist under specific parameter conditions.

Black holes exhibit two horizons for certain parameter ranges.

Thermal stability is achieved in anti-de Sitter spacetime.

Abstract

In this paper, we construct a new class of solutions for five dimensional third order quasi-topological black holes coupled to a power-law Maxwell nonlinear electrodynamics. To have real solutions, we should establish condition $\mu<-\frac{\lambda^2}{3}$ and to have finite solutions at infinity, the parameter of power-law Maxwell theory "s" should obey $\frac{1}{2}<s\leq 2$. Power-law Maxwell lagrangian is successful to set conformal invariance in higher dimensions. Also, this theory can reduce the divergence of the electrical field at the origin that is caused in linear Maxwell theory. As the value of parameter "s" increases, this divergence reduces more. In asymptotically anti-de sitter spacetimes, these obtained solutions lead to a black hole with two horizons for small values of $s$ and $q$. Also, solutions for $s=2$ have different behaviors with respect to the ones for other values of $s$. For negative and small values of parameter $\mu$, these solutions can describe a black hole with two horizons. An other important tip is that this black hole has thermal stability just for anti-de sitter solutions if its temperature is positive.