KIDs like cones
arXiv:1305.7468 · doi:10.1088/0264-9381/30/23/235036
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