Hawking's singularity theorem for $C^{1,1}$-metrics
General Relativity and Quantum Cosmology
2016-09-15 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We provide a detailed proof of Hawking's singularity theorem in the regularity class , i.e., for spacetime metrics possessing locally Lipschitz continuous first derivatives. The proof uses recent results in -causality theory and is based on regularisation techniques adapted to the causal structure.
Cite
@article{arxiv.1411.4689,
title = {Hawking's singularity theorem for $C^{1,1}$-metrics},
author = {Michael Kunzinger and Roland Steinbauer and Milena Stojkovic and James A. Vickers},
journal= {arXiv preprint arXiv:1411.4689},
year = {2016}
}
Comments
19 pages, LaTeX; v2: corrected Lemma 4.2; v3: typos corrected, final version