Black Hole Solutions in Heterotic String Theory on a Torus

TL;DR

This paper constructs the most general electrically charged, rotating black hole solutions in heterotic string theory compactified on a torus, analyzing their properties and providing an algorithm for even more general solutions.

Contribution

It introduces a comprehensive method to generate the most general rotating dyonic black hole solutions in heterotic string theory on a torus.

Findings

Recovery of axion-dilaton and Kaluza-Klein black holes for special charges

Identification of two different gyromagnetic ratios for generic black holes

Development of an algorithm for 58-parameter rotating dyonic black holes

Abstract

We construct the general electrically charged, rotating black hole solution in the heterotic string theory compactified on a six dimensional torus and study its classical properties. This black hole is characterized by its mass, angular momentum, and a 28 dimensional electric charge vector. We recover the axion-dilaton black holes and Kaluza-Klein black holes for special values of the charge vector. For a generic black hole of this kind, the 28 dimensional magnetic dipole moment vector is not proportional to the electric charge vector, and we need two different gyromagnetic ratios for specifying the relation between these two vectors. We also give an algorithm for constructing a 58 parameter rotating dyonic black hole solution in this theory, characterized by its mass, angular momentum, a 28 dimensional electric charge vector and a 28 dimensional magnetic charge vector. This is the most general asymptotically flat black hole solution in this theory consistent with the no-hair theorem.