The global uniqueness and C-1-regularity of geodesics in expanding impulsive gravitational waves

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335771" target="_blank" >RIV/00216208:11320/16:10335771 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/0264-9381/33/19/195010" target="_blank" >http://dx.doi.org/10.1088/0264-9381/33/19/195010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/0264-9381/33/19/195010" target="_blank" >10.1088/0264-9381/33/19/195010</a>

Result language
angličtina
Original language name
The global uniqueness and C-1-regularity of geodesics in expanding impulsive gravitational waves
Original language description
We study geodesics in the complete family of expanding impulsive gravitational waves propagating in spaces of constant curvature, that is Minkowski, de. Sitter and anti-de. Sitter universes. Employing the continuous form of the metric we rigorously prove existence and global uniqueness of continuously differentiable geodesics (in the sense of Filippov) and study their interaction with the impulsive wave. Thereby we justify the 'C-1-matching procedure' used in the literature to derive their explicit form.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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