State-space geometry, non-extremal black holes and Kaluza-Klein monopoles

TL;DR

This paper explores the statistical and geometric properties of non-extremal black holes and branes in string theory, revealing stability criteria and fluctuation behaviors through state-space geometry, especially with Kaluza-Klein monopoles.

Contribution

It introduces a geometric framework to analyze stability and fluctuations of non-extremal black branes, including effects of Kaluza-Klein monopoles, without approximations.

Findings

Stability of black branes linked to positivity of metric minors.

Kaluza-Klein monopoles affect fluctuation characteristics.

Canonical fluctuations can be determined exactly.

Abstract

We examine the statistical nature of the charged anticharged non-extremal black holes in string theory. From the perspective of the intrinsic Riemannian Geometry, the first principle of the statistical mechanics shows that the stability properties of general nonextremal nonlarge charged black brane solutions are divulged from the positivity of the corresponding principle minors of the space-state metric tensor. Under the addition of the Kaluza-Klein monopoles, a novel aspect of the Gaussian fluctuations demonstrates that the canonical fluctuations can be ascertained without any approximation. We offer the state-space geometric implication for the most general non-extremal black brane configurations in string theory.