Uniqueness Theorem for Static Dilaton U(1)^N Black Holes

TL;DR

This paper proves a uniqueness theorem for static, asymptotically flat dilaton black holes with multiple gauge fields, establishing that such solutions are uniquely determined under certain conditions.

Contribution

It introduces a sigma model formulation and demonstrates the uniqueness of static dilaton black holes with N Abelian gauge fields, extending previous results to more complex theories.

Findings

Proved uniqueness of static dilaton black holes with N gauge fields.

Developed a sigma model formulation for these black holes.

Established conditions for non-degenerate horizons.

Abstract

A sigma model formulation for static dilaton black holes with N Abelian gauge fields was presented. We proved uniqueness of static asymptotically flat spacetimes with non-degenerate black holes for the considered theory.