The Penrose singularity theorem in regularity C1,1

Author: Kunzinger Michael   Steinbauer Roland   Vickers James A  

Publisher: IOP Publishing

E-ISSN: 1361-6382|32|15|155010-155021

ISSN: 0264-9381

Source: Classical and Quantum Gravity, Vol.32, Iss.15, 2015-08, pp. : 155010-155021

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Abstract

We extend the validity of the Penrose singularity theorem to spacetime metrics of regularity &${C}^{mathrm{1,1}}$;. The proof is based on regularization techniques, combined with recent results in low regularity causality theory.