Cut-and-paste for impulsive gravitational waves with $\Lambda$: the mathematical analysis - ORA (2024)

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Cut-and-paste for impulsive gravitational waves with $\Lambda$: the mathematical analysis - ORA (1)

Cut-and-paste for impulsive gravitational waves with $\Lambda$: the mathematical analysis

Abstract:

Impulsive gravitational waves are theoretical models of short but violent bursts of gravitational radiation. They are commonly described by two distinct spacetime metrics, one of local Lipschitz regularity and the other one even distributional. These two metrics are thought to be ‘physically equivalent’ since they can be formally related by a ‘discontinuous coordinate transformation’. In this paper we provide a mathematical analysis of this issue for the entire class of nonexpanding impulsive...

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Publication status:
Published
Peer review status:
Peer reviewed

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10.1007/s11005-024-01804-0

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Authors

+ Sämann, C More by this author

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-4155-2317

+ Schinnerl, B More by this author

Role:
Author

+ Steinbauer, R More by this author

Role:
Author
ORCID:
0000-0001-8972-7502

+ Švarc, R More by this author

Role:
Author

Publisher:
Springer Nature
Journal:
Letters in Mathematical Physics More from this journal
Volume:
114
Issue:
2
Article number:
58
Publication date:
2024-04-24
Acceptance date:
2024-04-02
DOI:
EISSN:

1573-0530

ISSN:

0377-9017

Language:
English
Keywords:

impulsive gravitational waves

discontinuous coordinate transformation

nonlinear distributional geometry

Pubs id:

1992204

Local pid:
pubs:1992204
Deposit date:
2024-04-25

Terms of use

Copyright holder:
Sämann et al
Copyright date:
2024
Rights statement:
© The Author(s) 2024. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Licence:
CC Attribution (CC BY)

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Cut-and-paste for impulsive gravitational waves with $\Lambda$: the mathematical analysis - ORA (2024)
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