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A regularisation approach to causality theory for C^{1,1}Lorentzian metrics

A regularisation approach to causality theory for C^{1,1}Lorentzian metrics
A regularisation approach to causality theory for C^{1,1}Lorentzian metrics
We show that many standard results of Lorentzian causality theory remain valid if the regularity of the metric is reduced to C^{1,1}. Our approach is based on regularisations of the metric adapted to the causal structure.
0001-7701
1-18
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Steinbauer, R.
03564261-185d-4e1d-97ed-a7633d552a34
Kunzinger, M.
553c5264-8f37-4e7c-8316-09e7562fbbf7
Stojkovic, M.
b40a2b4c-ec26-4f88-871b-dcb616191c5c
Vickers, J.A.
719cd73f-c462-417d-a341-0b042db88634
Steinbauer, R.
03564261-185d-4e1d-97ed-a7633d552a34
Kunzinger, M.
553c5264-8f37-4e7c-8316-09e7562fbbf7
Stojkovic, M.
b40a2b4c-ec26-4f88-871b-dcb616191c5c

Vickers, J.A., Steinbauer, R., Kunzinger, M. and Stojkovic, M. (2014) A regularisation approach to causality theory for C^{1,1}Lorentzian metrics. General Relativity and Gravitation, 1-18. (doi:10.1007/s10714-014-1738-7).

Record type: Article

Abstract

We show that many standard results of Lorentzian causality theory remain valid if the regularity of the metric is reduced to C^{1,1}. Our approach is based on regularisations of the metric adapted to the causal structure.

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c11_causality_GRG_revised.pdf - Accepted Manuscript
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Published date: 18 July 2014
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 368057
URI: https://eprints.soton.ac.uk/id/eprint/368057
ISSN: 0001-7701
PURE UUID: 4332c7c8-f191-401a-b1bd-3ab0c7639c21
ORCID for J.A. Vickers: ORCID iD orcid.org/0000-0002-1531-6273

Catalogue record

Date deposited: 20 Aug 2014 11:25
Last modified: 03 Dec 2019 02:07

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