An Extreme Black Hole with Electric Dipole Moment

TL;DR

This paper presents a new extreme black hole solution in heterotic string theory characterized by zero angular momentum and a nonzero electric dipole moment, achieved through dimensional compactification of a rotating charged black hole.

Contribution

It introduces a novel black hole solution with electric dipole moment in heterotic string theory, expanding the understanding of black hole properties in string compactifications.

Findings

Black hole saturates the Bogomol'nyi bound.

Black hole has zero angular momentum.

Black hole possesses a nonzero electric dipole moment.

Abstract

We construct a new extreme black hole solution in toroidally compactified heterotic string theory. The black hole saturates the Bogomol'nyi bound, has zero angular momentum, but nonzero electric dipole moment. It is obtained by starting with a higher dimensional rotating charged black hole, and compactifying one direction in the plane of rotation.