Algebraic classification of Robinson-Trautman spacetimes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335768" target="_blank" >RIV/00216208:11320/16:10335768 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1103/PhysRevD.94.064043" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.94.064043</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.94.064043" target="_blank" >10.1103/PhysRevD.94.064043</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic classification of Robinson-Trautman spacetimes

Popis výsledku v původním jazyce

We consider a general class of four-dimensional geometries admitting a null vector field that has no twist and no shear but has an arbitrary expansion. We explicitly present the Petrov classification of such Robinson-Trautman (and Kundt) gravitational fields, based on the algebraic properties of the Weyl tensor. In particular, we determine all algebraically special subcases when the optically privileged null vector field is a multiple principal null direction (PND), as well as all the cases when it remains a single PND. No field equations are a priori applied, so that our classification scheme can be used in any metric theory of gravity in four dimensions. In the classic Einstein theory, this reproduces previous results for vacuum spacetimes, possibly with a cosmological constant, pure radiation, and electromagnetic field, but can be applied to an arbitrary matter content. As nontrivial explicit examples, we investigate specific algebraic properties of the Robinson-Trautman spacetimes with a free scalar field, and also black hole spacetimes in the pure Einstein-Weyl gravity.

Název v anglickém jazyce

Algebraic classification of Robinson-Trautman spacetimes

Popis výsledku anglicky

We consider a general class of four-dimensional geometries admitting a null vector field that has no twist and no shear but has an arbitrary expansion. We explicitly present the Petrov classification of such Robinson-Trautman (and Kundt) gravitational fields, based on the algebraic properties of the Weyl tensor. In particular, we determine all algebraically special subcases when the optically privileged null vector field is a multiple principal null direction (PND), as well as all the cases when it remains a single PND. No field equations are a priori applied, so that our classification scheme can be used in any metric theory of gravity in four dimensions. In the classic Einstein theory, this reproduces previous results for vacuum spacetimes, possibly with a cosmological constant, pure radiation, and electromagnetic field, but can be applied to an arbitrary matter content. As nontrivial explicit examples, we investigate specific algebraic properties of the Robinson-Trautman spacetimes with a free scalar field, and also black hole spacetimes in the pure Einstein-Weyl gravity.

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

PHYSICAL REVIEW D

ISSN

2470-0010

e-ISSN

—

Svazek periodika

94

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

—

Kód UT WoS článku

000383155100011

EID výsledku v databázi Scopus

2-s2.0-84990955577