Killing spinors as a characterisation of rotating black hole spacetimes
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- Written by Michael J. Cole
We investigate the implications of the existence of Killing spinors in spacetimes. We show that in vacuum and electrovacuum a Killing spinor, along with some assumptions on the associated Killing vector in an asymptotic region, guarantee that the spacetime is locally Kerr or Kerr-Newman. We show that the characterisation of these spacetimes in terms of Killing spinors is a alternative expression of characterisation results of Mars (Kerr) and Wong (Kerr-Newman) involving restrictions on the Weyl curvature and matter content.