Global Charges of Stationary Non-Abelian Black Holes
B. Kleihaus (UCD, Dublin), J. Kunz (Oldenburg U.), F. Navarro-Lerida, (Madrid U.)
TL;DR
This paper derives a mass formula for stationary axially symmetric black holes in SU(2) Einstein-Yang-Mills-dilaton theory, revealing that dilaton fields enable rotating black holes with complex gauge fields but no non-Abelian charge.
Contribution
It introduces a unified mass formula applicable to both non-Abelian and Abelian black holes in Einstein-Yang-Mills-dilaton theory, highlighting the role of the dilaton in black hole rotation.
Findings
Mass formula valid for non-Abelian and Abelian black holes
Dilaton field enables rotating black holes with non-trivial gauge fields
Black holes do not carry non-Abelian charge despite complex gauge fields
Abstract
We consider stationary axially symmetric black holes in SU(2) Einstein-Yang-Mills-dilaton theory. We present a mass formula for these stationary non-Abelian black holes, which also holds for Abelian black holes. The presence of the dilaton field allows for rotating black holes, which possess non-trivial electric and magnetic gauge fields, but don't carry a non-Abelian charge.
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