KIDs like cones

Abstract

We analyze vacuum Killing Initial Data on characteristic Cauchy surfaces. A general theorem on existence of Killing vectors in the domain of dependence is proved, and some special cases are analyzed in detail, including the case of bifurcate Killing horizons.

32 pages; improvement of theorem 1.2; short appendix on Fuchsian ODEs added; section 3.3 and an appendix related to it added, which give a useful application of our analysis to bifurcate horizons

References in corpus (3)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• The many ways of the characteristic Cauchy problem
• The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions

Cited by in corpus (6)

• Hypersurface data: General properties and Birkhoff theorem in spherical symmetry
• Gluing variations
• Multiple Killing Horizons: the initial value formulation for $\Lambda$-vacuum
• Improved existence for the characteristic initial value problem with the conformal Einstein field equations
• Killing and homothetic initial data for general hypersurfaces
• On a lower-dimensional Killing vector origin of irreducible Killing tensors