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

Hawking’s singularity theorem for C^{1,1}-metrics
Hawking’s singularity theorem for C^{1,1}-metrics
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.
0264-9381
1-19
Kunzinger, Michael
5ee9f681-a923-4fb5-b1c8-9454237dd721
Steinbauer, Roland
053836b9-b9d0-4a1d-93b1-06500bc87b17
Stojkavic, Milena
d40b01f6-b6ba-4fab-a42e-c03ea02bcda4
Vickers, James
719cd73f-c462-417d-a341-0b042db88634
Kunzinger, Michael
5ee9f681-a923-4fb5-b1c8-9454237dd721
Steinbauer, Roland
053836b9-b9d0-4a1d-93b1-06500bc87b17
Stojkavic, Milena
d40b01f6-b6ba-4fab-a42e-c03ea02bcda4
Vickers, James
719cd73f-c462-417d-a341-0b042db88634

Kunzinger, Michael, Steinbauer, Roland, Stojkavic, Milena and Vickers, James (2015) Hawking’s singularity theorem for C^{1,1}-metrics. Classical and Quantum Gravity, 32 (7), 1-19, [075012]. (doi:10.1088/0264-9381/32/7/075012).

Record type: Article

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.

Text
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More information

Accepted/In Press date: 16 February 2015
Published date: 17 March 2015
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 375264
URI: http://eprints.soton.ac.uk/id/eprint/375264
DOI: doi:10.1088/0264-9381/32/7/075012
ISSN: 0264-9381
PURE UUID: c32e48b9-1aa1-44cb-8a62-59bd09dc9f68
ORCID for James Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 18 Mar 2015 14:27
Last modified: 15 Mar 2024 02:34

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Contributors

Author: Michael Kunzinger
Author: Roland Steinbauer
Author: Milena Stojkavic
Author: James Vickers ORCID iD

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