A Particle Probing Thermodynamics in Three-Dimensional Black Hole

TL;DR

This paper investigates the thermodynamic evolution of a 2+1-dimensional rotating black hole during particle absorption, linking microscopic changes to the AdS/CFT correspondence and analyzing entropy and microstates.

Contribution

It introduces a formulation of irreducible mass and entropy based on particle momenta, providing new insights into black hole thermodynamics via particle interactions.

Findings

Black hole entropy relates to particle momenta.

The second law of thermodynamics is preserved during evolution.

Microstate counts vary with black hole stages.

Abstract

We have shown the thermodynamic changes in a 2+1-dimensional rotating black hole when it absorbs a particle. The microscopic changes which the black hole undergoes are interpreted using the AdS/CFT correspondence. Using particle absorption phenomena, we formulate an irreducible mass and black hole entropy directly related to the particle momenta. We describe the black hole evolution that preserves the 2nd law of thermodynamics. The numbers of microstates which evaluate the entropy are analyzed at each of the black hole evolution stages.