Cut-and-paste for impulsive gravitational waves with Lambda: The geometric picture
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10408372" target="_blank" >RIV/00216208:11320/19:10408372 - isvavai.cz</a>
Výsledek na webu
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=EPDavnUWqY" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=EPDavnUWqY</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.100.024040" target="_blank" >10.1103/PhysRevD.100.024040</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Cut-and-paste for impulsive gravitational waves with Lambda: The geometric picture
Popis výsledku v původním jazyce
Impulsive gravitational waves in Minkowski space were introduced by Penrose at the end of the 1960s and have been widely studied since then. Here we focus on nonexpanding waves which were later generalized to impulses traveling in all constant-curvature backgrounds, which is also the (anti-)de Sitter universe. While Penrose's original construction was based on his vivid geometric "scissors-and-paste" approach in a flat background, until now a comparably powerful visualization and understanding have been missing in the Lambda not equal 0 case. In this work we provide such a picture: The (anti-)de Sitter hyperboloid is cut along the null wave surface, and the "halves" are then reattached with a suitable shift of their null generators across the wave surface. This special family of global null geodesics defines an appropriate comoving coordinate system, leading to the continuous form of the metric. Moreover, it provides a complete understanding of the nature of the Penrose junction conditions and their specific form. This finding also shed light on recent discussions of the memory effect in impulsive waves.
Název v anglickém jazyce
Cut-and-paste for impulsive gravitational waves with Lambda: The geometric picture
Popis výsledku anglicky
Impulsive gravitational waves in Minkowski space were introduced by Penrose at the end of the 1960s and have been widely studied since then. Here we focus on nonexpanding waves which were later generalized to impulses traveling in all constant-curvature backgrounds, which is also the (anti-)de Sitter universe. While Penrose's original construction was based on his vivid geometric "scissors-and-paste" approach in a flat background, until now a comparably powerful visualization and understanding have been missing in the Lambda not equal 0 case. In this work we provide such a picture: The (anti-)de Sitter hyperboloid is cut along the null wave surface, and the "halves" are then reattached with a suitable shift of their null generators across the wave surface. This special family of global null geodesics defines an appropriate comoving coordinate system, leading to the continuous form of the metric. Moreover, it provides a complete understanding of the nature of the Penrose junction conditions and their specific form. This finding also shed light on recent discussions of the memory effect in impulsive waves.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10300 - Physical sciences
Návaznosti výsledku
Projekt
<a href="/cs/project/GA19-01850S" target="_blank" >GA19-01850S: Černoděrové a zářivé prostoročasy: přesné metody</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Physical Review D
ISSN
2470-0010
e-ISSN
—
Svazek periodika
100
Číslo periodika v rámci svazku
2
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
8
Strana od-do
024040
Kód UT WoS článku
000476695000013
EID výsledku v databázi Scopus
—