Dirac equation in Kerr-NUT-(A)dS spacetimes : intrinsic characterization of separability in all dimensions.
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2011
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We intrinsically characterize separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions. Namely, we explicitly demonstrate that, in such spacetimes, there exists a complete set of first-order mutually commuting operators, one of which is the Dirac operator, that allows for common eigenfunctions which can be found in a separated form and correspond precisely to the general solution of the Dirac equation found by Oota and Yasui [Phys. Lett. B 659, 688 (2008)]. Since all the operators in the set can be generated from the principal conformal Killing-Yano tensor, this establishes the (up-to-now) missing link among the existence of hidden symmetry, presence of a complete set of commuting operators, and separability of the Dirac equation in these spacetimes.
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CARIGLIA, M.; KRTOUS, P.; KUBIZNAK, D. Dirac equation in Kerr-NUT-(A)dS spacetime s: intrinsic characterization of separability in all dimensions. Disponível em: <http://journals.aps.org/prd/pdf/10.1103/PhysRevD.84.024008>. Acesso em 23 fev. 2015.