Holographic stress tensors for Kerr-AdS black holes

被引:66
作者
Awad, AM [1 ]
Johnson, CV
机构
[1] Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 USA
[2] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA
[3] Univ Durham, Dept Math Sci, Ctr Particle Theory, Durham DH1 3LE, England
关键词
D O I
10.1103/PhysRevD.61.084025
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We use the counterterm subtraction method to calculate the action and the stress-energy-momentum tensor for (Kerr) rotating black holes in AdS(n+1), for n = 2, 3, and 4. We demonstrate that the expressions for the total energy for the Kerr-AdS(3) and Kerr-AdS(5) spacetimes, in the limit of vanishing black hole mass, are equal to the Casimir energies of the holographically dual n-dimensional conformal field theories. in particular, for Kerr-AdS(5) spacetimes, dual to the case of the four-dimensional N=4 supersymmetric Yang-Mills theory on the rotating Einstein universe, we explicitly verify the equality of the zero mass stress tensor from the two sides of the correspondence, and present the result for a general mass as a prediction from gravity. Amusingly, it is observed in four dimensions that while the trace of the stress tensor defined using the standard counterterms does not vanish, its integral does, thereby keeping the action free of ultraviolet divergences. Using a different regularization scheme "another" stress tensor can be defined, which is traceless.
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页数:9
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