Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor

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dc.creatorWu, Shuang-Qing
dc.date2008-07-14
dc.date2008-09-08
dc.date.accessioned2026-07-07T12:44:41Z
dc.date.available2026-07-07T12:44:41Z
dc.descriptionThe Dirac equation for the electron around a five-dimensional rotating black hole with two different angular momenta is separated into purely radial and purely angular equations. The general solution is expressed as a superposition of solutions derived from these two decoupled ordinary differential equations. By separating variables for the massive Klein-Gordon equation in the same space-time background, I derive a simple and elegant form for the Stackel-Killing tensor, which can be easily written as the square of a rank-three Killing-Yano tensor. I have also explicitly constructed a symmetry operator that commutes with the scalar Laplacian by using the Stackel-Killing tensor, and the one with the Dirac operator by the Killing-Yano tensor admitted by the five-dimensional Myers-Perry metric, respectively.
dc.description15 pages, no figure, revtex4.cls. Typos removed. PRD published version
dc.identifierhttps://arxiv.org/abs/0807.2114
dc.identifierhttp://arxiv.org/abs/0807.2114
dc.identifierPhys.Rev.D78:064052,2008
dc.identifierdoi:10.1103/PhysRevD.78.064052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220856
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleSeparability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
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