Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string

TL;DR

This paper investigates how a cosmic string affects the evolution of interior entropy in a loop quantum-corrected black hole during Hawking radiation, ensuring thermodynamic consistency.

Contribution

It derives the evolution relation between interior and Bekenstein-Hawking entropy for a quantum-corrected black hole pierced by a cosmic string.

Findings

Cosmic string influences entropy evolution during black hole evaporation.

Second law of thermodynamics holds for total entropy variation.

Interior entropy evolution is affected by cosmic string presence.

Abstract

The concept of interior entropy of black hole provides a possible way to deal with information problem. We derive evolution relation between interior entropy and Bekenstein-Hawking entropy for a loop quantum-corrected black hole with large mass pierced by an infinitely straight cosmic string during Hawking radiation. We find that the present cosmic string can influence the evolution relation between these two types of entropy under black hole evaporation and the second law of thermodynamics is satisfied for the total variation of these two types of entropy.