English

KIDs like cones

General Relativity and Quantum Cosmology 2015-06-16 v2

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.

Cite

@article{arxiv.1305.7468,
  title  = {KIDs like cones},
  author = {Piotr T. Chruściel and Tim-Torben Paetz},
  journal= {arXiv preprint arXiv:1305.7468},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T00:26:00.220Z