Masses dynamics during black hole evaporation in spatially flat FLRW universes

TL;DR

This paper introduces new solutions to Einstein's equations that model black hole evaporation in flat FLRW universes, analyzing how black hole and dust masses evolve over time.

Contribution

It presents novel dynamical solutions describing evaporating black holes in FLRW universes, expanding understanding of mass dissipation into dust.

Findings

Black hole and dust masses decrease over time during evaporation.

Analytical and graphical methods reveal mass evolution patterns.

Solutions may describe realistic black hole evaporation scenarios.

Abstract

The new dynamical solutions of Einstein's equations with perfect fluid in space-times with FLRW asymptotic behaviour, derived recently \cite{Cot,Cot1,Cot2}, may describe evaporating black holes whose masses dissipate into dust. The time evolution of the black hole and dust masses of simple models of evaporating black holes are studied using analytical and graphical methods.