Non-extreme Calabi-Yau Black Holes

TL;DR

This paper constructs and analyzes non-extreme black hole solutions in four-dimensional N=2 supergravity with Calabi-Yau prepotentials, revealing conditions on moduli and gauge couplings for their existence.

Contribution

It introduces new non-extreme black hole solutions in N=2 supergravity and identifies conditions on boost parameters and gauge couplings for their consistency.

Findings

Constraints on boost parameters for non-extreme solutions

Block diagonality of gauge coupling matrix as a necessary condition

Examples illustrating the solution space and potential for more general solutions

Abstract

Non-extreme black hole solutions of four dimensional, N=2 supergravity theories with Calabi-Yau prepotentials are presented, which generalize certain known double-extreme and extreme solutions. The boost parameters characterizing the nonextreme solutions must satisfy certain constraints, which effectively limit the functional independence of the moduli scalars. A necessary condition for being able to take certain boost parameters independent is found to be block diagonality of the gauge coupling matrix. We present a number of examples aimed at developing an understanding of this situation and speculate about the existence of more general solutions.