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arXiv · 1601.04666

Killing spinors as a characterisation of rotating black hole spacetimes

Michael J. Cole·Juan A. Valiente Kroon
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Abstract

We investigate the implications of the existence of Killing spinors in a spacetime. In particular, we show that in vacuum and electrovacuum a Killing spinor, along with some assumptions on the associated Killing vector in an asymptotic region, guarantees that the spacetime is locally isometric to the Kerr or Kerr-Newman solutions. We show that the characterisation of these spacetimes in terms of Killing spinors is an alternative expression of characterisation results of Mars (Kerr) and Wong (Kerr-Newman) involving restrictions on the Weyl curvature and matter content.

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Michael J. Cole, Juan A. Valiente Kroon. 2016-01-18. Killing spinors as a characterisation of rotating black hole spacetimes. https://doi.org/10.1088/0264-9381/33/12/125019

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