Algebraic classification of Robinson-Trautman spacetimes
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Algebraic classification of Robinson-Trautman spacetimes
Original language description
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.
Czech name
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Czech description
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Classification
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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Result continuities
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)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW D
ISSN
2470-0010
e-ISSN
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Volume of the periodical
94
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
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UT code for WoS article
000383155100011
EID of the result in the Scopus database
2-s2.0-84990955577