Hawking radiation in a $d$-dimensional static spherically-symmetric black Hole surrounded by quintessence

TL;DR

This paper derives solutions for $d$-dimensional black holes surrounded by quintessence, analyzes their thermodynamics, and studies how quintessence affects Hawking radiation, especially on the brane in low-energy regimes.

Contribution

It provides new solutions for higher-dimensional black holes with quintessential matter and explores the impact of quintessence on black hole thermodynamics and Hawking radiation.

Findings

Black hole mass depends on quintessence equation of state

First law of thermodynamics remains universal

Hawking radiation dominates on the brane at low energies

Abstract

We present a solution of Einstein equations with quintessential matter surrounding a $d$-dimensional black hole, whose asymptotic structures are determined by the state of the quintessential matter. We examine the thermodynamics of this black hole and find that the mass of the black hole depends on the equation of state of the quintessence, while the first law is universal. Investigating the Hawking radiation in this black hole background, we observe that the Hawking radiation dominates on the brane in the low-energy regime. For different asymptotic structures caused by the equation of state of the quintessential matter surrounding the black hole, we learn that the influences by the state parameter of the quintessence on Hawking radiation are different.