Topological geon black holes in Einstein-Yang-Mills theory

TL;DR

This paper constructs topological geon quotients of Einstein-Yang-Mills black holes, revealing how gauge bundle structures relate to black hole topology and quantum effects.

Contribution

It introduces new topological geon quotients for specific Einstein-Yang-Mills black holes, highlighting differences in gauge bundle structures and charge conjugation requirements.

Findings

Geon quotients exist for both families of black holes.

Charge conjugation promotion is needed for SU(n) with n>2.

Gauge bundle topology influences quantum field effects.

Abstract

We construct topological geon quotients of two families of Einstein-Yang-Mills black holes. For Kuenzle's static, spherically symmetric SU(n) black holes with n>2, a geon quotient exists but generically requires promoting charge conjugation into a gauge symmetry. For Kleihaus and Kunz's static, axially symmetric SU(2) black holes a geon quotient exists without gauging charge conjugation, and the parity of the gauge field winding number determines whether the geon gauge bundle is trivial. The geon's gauge bundle structure is expected to have an imprint in the Hawking-Unruh effect for quantum fields that couple to the background gauge field.