Gyromagnetic ratio of charged Kerr antide Sitter black holes
Abstract
We examine the gyromagnetic ratios of rotating and charged AdS black holes in four and higher spacetime dimensions. We compute the gyromagnetic ratio for Kerr AdS black holes with an arbitrary electric charge in four dimensions and show that it corresponds to g = 2 irrespective of the AdS nature of the spacetime. We also compute the gyromagnetic ratio for Kerr AdS black holes with a single angular momentum and with a test electric charge in all higher dimensions. The gyromagnetic ratio crucially depends on the dimensionless ratio of the rotation parameter to the curvature radius of the AdS background. At the critical limit, when the boundary Einstein universe is rotating at the speed of light, it exhibits a striking feature leading to g = 2 regardless of the spacetime dimension. Next, we extend our consideration to include the exact metric for fivedimensional rotating charged black holes in minimal gauged supergravity. We show that the value of the gyromagnetic ratio found in the 'testcharge' approach remains unchanged for these black holes.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 2007
 DOI:
 10.1088/02649381/24/18/008
 arXiv:
 arXiv:hepth/0611205
 Bibcode:
 2007CQGra..24.4669A
 Keywords:

 High Energy Physics  Theory;
 Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, Latex