Lovelock black holes surrounded by dark fluid in power-Yang-Mills massive gravity

TL;DR

This paper introduces new magnetized Lovelock black hole solutions influenced by dark fluid and power-Yang-Mills sources, analyzing their thermodynamics and phase transitions in higher-dimensional massive gravity theories.

Contribution

It constructs novel black hole solutions in Lovelock gravity with dark fluid and power-Yang-Mills fields, exploring their thermodynamic properties and phase behavior.

Findings

Mass and thermodynamic quantities depend on dark fluid and Yang-Mills parameters.

Entropy does not follow the area law in Gauss-Bonnet and Lovelock black holes.

Black hole phase transitions are analyzed in the context of higher-order gravity.

Abstract

We consider a model where massive static spherically symmetric black hole, in the presence of power-Yang-Mills source, is surrounded by a dark fluid with non-linear equation of state. In this set up we construct a new class of magnetized Lovelock black hole solutions of the gravitational field equations. In particular, we work out the metric functions in both D-dimensional massive Einstein and massive Gauss-Bonnet gravities. We study thermodynamics of these black holes also and show that the mass and associated thermodynamic quantities like Hawking temperature and heat capacity depend on parameters of the dark fluid and the power-Yang-Mills magnetic source. We note that the entropy does not satisfy the area law in Gauss-Bonnet and higher order Lovelock black holes. Furthermore, phase transitions of black holes in each case are also discussed.