Evolution of a Schwarzschild Black Hole in Phantom-like Chaplygin gas Cosmologies

TL;DR

This paper studies how a Schwarzschild black hole's mass changes over time when accreting phantom-like Chaplygin gases within cosmological models, confirming that mass decreases when energy conditions are violated.

Contribution

It introduces a detailed analysis of black hole mass evolution in cosmologies with modified Chaplygin gases, extending previous work to include viscous effects and variable parameters.

Findings

Black hole mass decreases with phantom energy accretion violating energy conditions.

Mass increases when the accreting gas satisfies the dominant energy condition.

Results align with previous theoretical predictions by Babichev et al.

Abstract

In the classical relativistic regime, the accretion of phantom energy onto a black hole reduces the mass of the black hole. In this context, we have investigated the evolution of a Schwarzschild black hole in the standard model of cosmology using the phantom-like modified variable Chaplygin gas and the viscous generalized Chaplygin gas. The corresponding expressions for accretion time scale and evolution of mass have been derived. Our results indicate that mass of the black hole will decrease if the accreting phantom Chaplygin gas violates the dominant energy condition and will increase in the opposite case. Thus our results are in agreement with the results of Babichev \textit{et al} \cite{Babi1} who first proposed this scenario.