On rigidity of spacetimes with a compact Cauchy horizon
General Relativity and Quantum Cosmology
2017-08-23 v1
Abstract
Smooth spacetimes with a compact Cauchy horizon ruled by closed null geodesics are considered. The compact Cauchy horizon is assumed to be non-degenerate. Then, supporting the validity of Penrose's strong cosmic censor hypothesis, the existence of a smooth Killing vector field in a neighbourhood of the horizon on the Cauchy development side is shown.
Cite
@article{arxiv.gr-qc/0101102,
title = {On rigidity of spacetimes with a compact Cauchy horizon},
author = {István Rácz},
journal= {arXiv preprint arXiv:gr-qc/0101102},
year = {2017}
}
Comments
2 pages, contribution to the 9th Marcel Grossmann meeting (MG9), Rome, July 2000