Regular Kiselev black hole with a de Sitter core

TL;DR

This paper explores a non-singular Kiselev black hole with a de Sitter core, analyzing thin shell collapse and stability, and proposing a model for a stable, non-singular black hole spacetime.

Contribution

It introduces a new model of a non-singular Kiselev black hole with a de Sitter core and studies the stability of thin shell collapse in this spacetime.

Findings

Kiselev black hole can be matched to de Sitter core with a thin shell

Stable stationary solutions of the shell are achievable under certain parameters

The equation of state parameter for the shell must be non-negative

Abstract

We present some new aspects of Kiselev black hole and then study the null and timelike thin shell collapse in this spacetime. For the latter, we show that Kiselev black hole can be matched to de Sitter core with a thin timelike dust shell to produce a non-singular black hole space-time. It is argued that for timelike hypersurface, the equation of state parameter must be non-negative. Using Barrabes-Israel junction conditions, the equation of motion of the shell is obtained. The stability of stationary solutions of the shell is discussed and some appropriate ranges for the parameters of shell and Kiselev geometry are found for which a stable stationary black hole is constructed.