Cut-and-paste for impulsive gravitational waves with3:the mathematical analysis

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Cut-and-paste for impulsive gravitational waves with3:the mathematical analysis

Popis výsledku v původním jazyce

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 &apos;physically equivalent&apos; since they can be formally related by a &apos;discontinuous coordinate transformation&apos;. 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.

Název v anglickém jazyce

Cut-and-paste for impulsive gravitational waves with3:the mathematical analysis

Popis výsledku anglicky

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 &apos;physically equivalent&apos; since they can be formally related by a &apos;discontinuous coordinate transformation&apos;. 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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GA22-14791S" target="_blank" >GA22-14791S: Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Letters in Mathematical Physics

ISSN

0377-9017

e-ISSN

1573-0530

Svazek periodika

114

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

31

Strana od-do

58

Kód UT WoS článku

001207753200001

EID výsledku v databázi Scopus

2-s2.0-85191228788