Hairy Kiselev Black Hole Solutions

TL;DR

This paper introduces a new exact solution for hairy black holes in nonvacuum backgrounds, analyzing how background fields influence black hole properties and geodesic motion, with potential observable effects under specific conditions.

Contribution

It presents a novel static spherically-symmetric hairy black hole solution extending previous models via gravitational decoupling, and examines the impact of background fields on black hole behavior.

Findings

New exact solution for hairy black holes in nonvacuum backgrounds

Background fields can significantly influence geodesic motion

Conditions identified where modifications are comparable to Schwarzschild case

Abstract

In the realm of astrophysics, black holes exist within nonvacuum cosmological backgrounds, making it crucial to investigate how these backgrounds influence the properties of black holes. In this work, we first introduce a novel static spherically-symmetric exact solution of Einstein field equations representing a surrounded hairy black hole. This solution represents a generalization of the hairy Schwarzschild solution recently derived using the extended gravitational decoupling method. Then, we discuss how the new induced modification terms attributed to the primary hairs and various background fields affect the geodesic motion in comparison to the conventional Schwarzschild case. Although these modifications may appear insignificant in most cases, we identify specific conditions where they can be comparable to the Schwarzschild case for some particular background fields.