Topological geon black holes in Einstein-Yang-Mills theory

Details Topological geon black holes in Einstein-Yang-Mills theory Topological geon black holes in Einstein-Yang-Mills theory

2010-01-23

arxiv.org/abs/1001.4195v3

Commun. Math. Phys. 303 (2011) 127-148

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages. v3: Presentation expanded. Minor corrections and additions

Scientific paper

10.1007/s00220-011-1195-z

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.

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