Black hole pairs and supergravity domain walls

TL;DR

This paper investigates black hole pair creation in supergravity domain walls, showing that non-extreme, supersymmetry-breaking walls facilitate nucleation, while extreme, supersymmetric walls suppress it, aligning with their stability as BPS states.

Contribution

It demonstrates the conditions under which black holes are nucleated in the presence of supergravity domain walls and clarifies the role of supersymmetry and extremality in this process.

Findings

Black holes nucleate with non-extreme, supersymmetry-breaking walls.

Creation rate approaches zero as deviation from extremality vanishes.

Extreme, supersymmetric domain walls do not facilitate black hole creation.

Abstract

We examine the pair creation of black holes in the presence of supergravity domain walls with broken and unbroken supersymmetry. We show that black holes will be nucleated in the presence of non- extreme, repulsive walls which break the supersymmetry, but that as one allows the parameter measuring deviation from extremality to approach zero the rate of creation will be suppressed. In particular, we show that the probability for creation of black holes in the presence of an extreme domain wall is identically zero, even though an extreme vacuum domain wall still has repulsive gravitational energy. This is consistent with the fact that the supersymmetric, extreme domain wall configurations are BPS states and should be stable against quantum corrections. We discuss how these walls arise in string theory, and speculate about what string theory might tell us about such objects.