The Quantization of a Kerr-AdS Black Hole

被引:5
作者
Gerhardt, Claus [1 ]
机构
[1] Ruprecht Karls Univ Heidelberg, Inst Angew Math, Neuenheimer Feld 205, D-69120 Heidelberg, Germany
关键词
GRAVITY;
D O I
10.1155/2018/4328312
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We apply our model of quantum gravity to a Kerr-AdS space-time of dimension 2m + 1, m >= 2, where all rotational parameters are equal, resulting in a wave equation in a quantum space-time which has a sequence of solutions that can be expressed as a product of stationary and temporal eigenfunctions. The stationary eigenfunctions can be interpreted as radiation and the temporal ones as gravitational waves. The event horizon corresponds in the quantum model to a Cauchy hypersurface that can be crossed by causal curves in both directions such that the information paradox does not occur. We also prove that the Kerr-AdS space-time can be maximally extended by replacing in a generalized Boyer-Lindquist coordinate system the r variable by rho = r(2) such that the extended space-time has a timelike curvature singularity in rho = -a(2).
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页数:10
相关论文
共 19 条
[12]  
Gerhardt Claus, 2013, ARXIV13016101
[13]   The general Kerr-de Sitter metrics in all dimensions [J].
Gibbons, GW ;
Lü, H ;
Page, DN ;
Pope, CN .
JOURNAL OF GEOMETRY AND PHYSICS, 2005, 53 (01) :49-73
[14]   PATH-INTEGRAL DERIVATION OF BLACK-HOLE RADIANCE [J].
HARTLE, JB .
PHYSICAL REVIEW D, 1976, 13 (08) :2188-2203
[15]   Rotation and the AdS-CFT correspondence [J].
Hawking, SW ;
Hunter, CJ ;
Taylor-Robinson, MM .
PHYSICAL REVIEW D, 1999, 59 (06)
[16]   PARTICLE CREATION BY BLACK-HOLES [J].
HAWKING, SW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 43 (03) :199-220
[17]  
Hubsch T., 2003, GEN RELATIVITY EINST
[19]   BLACK-HOLES IN HIGHER DIMENSIONAL SPACE-TIMES [J].
MYERS, RC ;
PERRY, MJ .
ANNALS OF PHYSICS, 1986, 172 (02) :304-347