# Charged Lovelock black holes in the presence of dark fluid with a nonlinear equation of state

## TL;DR

This paper investigates charged Lovelock black holes surrounded by a dark fluid with a nonlinear equation of state, deriving solutions and analyzing thermodynamics across different dimensions and dark fluid parameters.

## Contribution

It provides new metric solutions and thermodynamic analyses for charged Lovelock black holes influenced by a nonlinear dark fluid in various dimensions.

## Key findings

- Dark fluid parameters significantly affect black hole thermodynamics.
- Thermodynamic stability varies with spacetime dimensions and dark fluid properties.
- Explicit metric functions and thermodynamic quantities are derived and plotted.

## Abstract

We consider a model that charged static spherically-symmetric black hole is surrounded by dark fluid with nonlinear equation of state $p_d=-B/\rho_d$. We find that the energy density of the dark fluid can be characterized by two parameters. The derivation of metric solution, as well as the calculation of black hole thermodynamical quantities as functions of horizon radius, are performed. Specially, in $D$-dimensional Einstein gravity and Gauss-Bonnet gravity cases, we plot the metric functions and corresponding thermodynamical quantities, such as mass, Hawking temperature and heat capacity, by varying the values of spacetime dimensions and dark fluid parameters. The effects of the dark fluid parameters on black hole solutions as well as on thermodynamical stability of black holes are discussed.