Spinor Fields and Symmetries of the Spacetime

Details Spinor Fields and Symmetries of the Spacetime Spinor Fields and Symmetries of the Spacetime

2011-05-28

arxiv.org/abs/1105.5741v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

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.

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