Cut-and-paste for impulsive gravitational waves with Lambda: The geometric picture

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Cut-and-paste for impulsive gravitational waves with Lambda: The geometric picture
Original language description
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.
Czech name
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Czech description
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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

Project
<a href="/en/project/GA19-01850S" target="_blank" >GA19-01850S: Black-hole and radiative spacetimes: exact methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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