Nariai black holes with quintessence

TL;DR

This paper investigates Schwarzschild black holes surrounded by quintessence, demonstrating the existence of Nariai-type solutions with unique topologies and comparing thermodynamic properties across different parameters.

Contribution

It introduces the existence of Nariai black holes in quintessence environments and analyzes their geometric and thermodynamic properties for various scalar curvature scenarios.

Findings

Nariai black holes exist for specific parameter values.

The topology of these black holes is $dS_2 imes S_2$ with distinct scalar curvature.

Temperature and entropy are computed and compared for different state parameters.

Abstract

In this paper we study the properties of Schwarzschild black hole surrounded by quintessence matter. The main objective of the paper is to show the existence of Nariai type black hole for special values of the parameters in the theory. The Nariai black hole with the quintessence has the topology $dS_2 \times S_2$ with $dS_2$ with a different scalar curvature than what would be expected for the Schwarzschild-de Sitter degenerate black hole. Temperature and the entropy for the Schwarzschild-de Sitter black hole and the Schwarzschild-quintessence black hole are compared. The temperature and the curvature are computed for general values of the state parameter $\omega$.