Rank-three Killing-Yano tensor and separability of the massive Dirac’s equation in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
نویسنده
چکیده
It is shown that the Dirac equation is separable by variables in a five-dimensional rotating Kerr-(anti-)de Sitter black hole with two independent angular momenta. A first-order symmetry operator that commutes with the Dirac operator is constructed in terms of a rank-three Killing-Yano tensor whose square is a second-order symmetric Stäckel-Killing tensor admitted by the five-dimensional Kerr-(anti-)de Sitter spacetime. PACS Numbers: 04.50.Gh; 04.70.Bw; 11.10.Kk; 03.65.Pm
منابع مشابه
Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
It is shown that the Dirac equation is separable by variables in a five-dimensional rotating Kerr-(anti-)de Sitter black hole with two independent angular momenta. A first order symmetry operator that commutes with the Dirac operator is constructed in terms of a rank-three Killing-Yano tensor whose square is a second order symmetric Stäckel-Killing tensor admitted by the five-dimensional Kerr-(...
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