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Spinor Fields and Symmetries of the Spacetime

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Mei,  Jianwei
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1105.5741
(Preprint), 189KB

GRG44_2191.pdf
(Any fulltext), 198KB

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Citation

Mei, J. (2012). Spinor Fields and Symmetries of the Spacetime. General Relativity and Gravitation, 44(9), 2191-2203. Retrieved from http://arxiv.org/abs/1105.5741.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-447A-1
Abstract
In the background of a stationary black hole, the "conserved current" of a particular spinor field always approaches the null Killing vector on the horizon. What's more, when the black hole is asymptotically flat and when the coordinate system is asymptotically static, then the same current also approaches the time Killing vector at the spatial infinity. We test these results against various black hole solutions and no exception is found. The spinor field only needs to satisfy a very general and simple constraint.