Pair Creation of Black Hole in Anti-de Sitter Space Background

TL;DR

This paper investigates the quantum creation of black hole pairs in Anti-de Sitter space using complex instantons, revealing how probabilities relate to black hole entropy and horizon areas.

Contribution

It introduces a method for analyzing black hole pair creation in AdS space via complex instantons, extending previous approaches to include charge and rotation.

Findings

Probability of chargeless black hole pair is exponential of negative entropy.

Probability of charged/rotating black hole pair relates to horizon areas.

Method provides a new way to study black hole nucleation in AdS backgrounds.

Abstract

In the absence of a general no-boundary proposal for open creation, the complex constrained instanton is used as the seed for the open pair creations of black holes in the Kerr-Newman-anti-de Sitter family. The relative probability of the chargeless and nonrotating black hole pair is the exponential of the negative of the entropy, and that of the charged and (or) rotating black hole pair is the exponential of the negative of one quarter of the sum of the outer and inner black hole horizon areas.