Killing spinors as a characterisation of rotating black hole spacetimes

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.

18 pages

References in corpus (5)

• Stationary Black Holes: Uniqueness and Beyond
• An intrinsic characterization of the Kerr metric
• On the construction of a geometric invariant measuring the deviation from Kerr data
• The "non-Kerrness" of domains of outer communication of black holes and exteriors of stars
• A space-time characterization of the Kerr-Newman metric

Cited by in corpus (2)

• Algorithmic characterization results for the Kerr-NUT-(A)dS space-time. I. A space-time approach
• A geometric invariant characterising initial data for the Kerr-Newman spacetime