Kiselev black holes in $f(R,T)$ gravity

TL;DR

This paper derives new exact black hole solutions in $f(R,T)$ gravity with surrounding fluids, analyzing their thermodynamics and energy conditions for various equations of state.

Contribution

It presents novel exact solutions for black holes in $f(R,T)$ gravity considering anisotropic fluids and specific equations of state, expanding understanding of such models.

Findings

New classes of black hole solutions obtained.

Thermodynamic properties like Hawking temperature analyzed.

Energy conditions explored for different fluid parameters.

Abstract

We obtain new exact solutions for the gravitational field equations in the context of $f(R,T)$ gravity, thereby obtaining different classes of black holes surrounded by fluids, taking into account some specific values of the parameter of the equations of state, $w$. In order to obtain these solutions in the context of $f(R,T)$ gravity, we consider viable particular choices of the $f(R,T)$. Considering an anisotropic energy-momentum tensor, we write the field equations with the required symmetries for this type of solution. Then, we analyze the conditions of energy in a general way and also for particular values of the parameter $w$ of the equation of state. In addition, thermodynamic quantities, such as Hawking temperature and mass associated to the horizons of solutions, are taken into account in our analysis.