Completeness of general pp-wave spacetimes and their impulsive limit

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Completeness of general pp-wave spacetimes and their impulsive limit

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Completeness of general pp-wave spacetimes and their impulsive limit

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP203%2F12%2F0118" target="_blank" >GAP203/12/0118: Prostoročasy a pole ve vícerozměrné a klasické teorii gravitace</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

—

Svazek periodika

33

Číslo periodika v rámci svazku

21

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

27

Strana od-do

—

Kód UT WoS článku

000386372100001

EID výsledku v databázi Scopus

2-s2.0-84991585091