Cut-and-paste for impulsive gravitational waves with3:the mathematical analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10491423" target="_blank" >RIV/00216208:11320/24:10491423 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jHVCJwFkRF" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=jHVCJwFkRF</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-024-01804-0" target="_blank" >10.1007/s11005-024-01804-0</a>
Alternative languages
Result language
angličtina
Original language name
Cut-and-paste for impulsive gravitational waves with3:the mathematical analysis
Original language description
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 gravitational waves propagating in a background spacetime of constant curvature. We devise a natural geometric regularisation procedure to show that the notorious change of variables arises as the distributional limit of a family of smooth coordinate transformations. In other words, we establish that both spacetimes arise as distributional limits of a smooth sandwich wave taken in different coordinate systems which are diffeomorphically related.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA22-14791S" target="_blank" >GA22-14791S: Black hole spacetimes in a general dimension, their properties and interpretation</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Letters in Mathematical Physics
ISSN
0377-9017
e-ISSN
1573-0530
Volume of the periodical
114
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
31
Pages from-to
58
UT code for WoS article
001207753200001
EID of the result in the Scopus database
2-s2.0-85191228788