Killing spinors as a characterisation of rotating black hole spacetimes

Details

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.