Completeness of general pp-wave spacetimes and their impulsive limit

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335772" target="_blank" >RIV/00216208:11320/16:10335772 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/0264-9381/33/21/215006" target="_blank" >http://dx.doi.org/10.1088/0264-9381/33/21/215006</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0264-9381/33/21/215006" target="_blank" >10.1088/0264-9381/33/21/215006</a>

Result language

angličtina

Original language name

Completeness of general pp-wave spacetimes and their impulsive limit

Original language description

We investigate geodesic completeness in the full family of pp-wave (or Brinkmann) spacetimes in their extended and impulsive forms. This class of geometries contains the recently studied gyratonic pp-waves, modelling the exterior field of a spinning beam of null particles, as well as N-fronted waves with parallel rays, which generalize classical pp-waves by allowing for a general wave surface. The problem of geodesic completeness reduces to the question of completeness of trajectories on a Riemannian manifold under an external force field. Building upon respective recent results, we derive completeness criteria in terms of the spatial asymptotics of the profile function in the extended case. In the impulsive case, we use a fixed-point argument to show that, irrespective of the behaviour of the profile function, all geometries in the class are complete.

Czech name

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Czech description

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Type

J_x - 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/GAP203%2F12%2F0118" target="_blank" >GAP203/12/0118: Spacetimes and Fields in Higher Dimensional and Classical Gravity</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

Name of the periodical

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

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Volume of the periodical

33

Issue of the periodical within the volume

21

Country of publishing house

GB - UNITED KINGDOM

Number of pages

27

Pages from-to

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UT code for WoS article

000386372100001

EID of the result in the Scopus database

2-s2.0-84991585091