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arXiv · 1411.4689

Hawking's singularity theorem for $C^{1,1}$-metrics

Michael Kunzinger·Roland Steinbauer·Milena Stojkovic·James A. Vickers
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Abstract

We provide a detailed proof of Hawking's singularity theorem in the regularity class $C^{1,1}$, i.e., for spacetime metrics possessing locally Lipschitz continuous first derivatives. The proof uses recent results in $C^{1,1}$-causality theory and is based on regularisation techniques adapted to the causal structure.

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Michael Kunzinger, Roland Steinbauer, Milena Stojkovic, James A. Vickers. 2014-11-17. Hawking's singularity theorem for $C^{1,1}$-metrics. https://doi.org/10.1088/0264-9381%2F32%2F7%2F075012

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