The indivisibility of a quantum-corrected AdS black hole with phantom global monopoles

TL;DR

This paper investigates whether quantum-corrected AdS black holes with global monopoles can split into parts, analyzing entropy changes influenced by quantum effects, monopoles, and the AdS environment, finding they generally remain intact unless quantum fluctuations induce fragmentation.

Contribution

It introduces a detailed analysis of black hole stability considering quantum corrections, monopoles, and AdS space, revealing conditions under which black holes may fragment.

Findings

Global monopoles do not cause black hole splitting under typical conditions.

Quantum fluctuations can induce black hole fragmentation if one part is much smaller.

Large AdS radius can promote black hole splitting into nearly equal masses.

Abstract

We study the indivisibility of a quantum-corrected AdS black hole involving two kinds of global monopoles, regular or phantom ones to declare the effects from the quantum fluctuation, monopole factors and the negative cosmological constant on the evolution of black holes. We focus our attention on the possibility that this kind of black holes break into their own two parts because of the second law of thermodynamics. We derive and calculate the entropies of the initial black hole and the broken parts respectively and the entropy difference relates to the black holes structure including the quantum-gravity oscillation, global monopoles and the influence from AdS environment. It is found that the two kinds of global monopoles both keep the black holes intact instead of splitting because the entropy difference is negative. The considerable quantum fluctuation compels the defference to be positive and the fragmentation of the black holes may happen in the case that the mass of one fragmented black hole is tiny and the other one's mass is huge. The AdS radius can increase the whole value of change in entropy and the difference near the midpoint of mass ratio will become positive, so the large enough radius may lead the isolated black hole to become two parts nearly equal in the mass.