Hidden Symmetries of the Dirac equation in curved spacetime
arXiv:1209.6406
Abstract
These are introductory notes on the study of the Dirac equation in curved spacetime and its relation to hidden symmetries of the dynamics. We present general results on the relation between special spacetime tensors and hidden symmetries, both for the full Dirac equation and for its semi-classical limit, the spinning particle. A concrete application of the general results is provided by the case of rotating higher dimensional black holes with cosmological constant, which we discuss. For these metrics the Dirac equation is separable and the relation between this and hidden symmetries is explained.
arXiv commentContribution written for the proceedings of the conference "Relativity and Gravitation - 100 Years after Einstein in Prague", Prague 25-29 June 2012
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