Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10290527" target="_blank" >RIV/00216208:11320/15:10290527 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/0264-9381/32/1/015001" target="_blank" >http://dx.doi.org/10.1088/0264-9381/32/1/015001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0264-9381/32/1/015001" target="_blank" >10.1088/0264-9381/32/1/015001</a>

Result language

angličtina

Original language name

Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension

Original language description

We investigate the Weyl tensor algebraic structure of a fully general family of D-dimensional geometries that admit a non-twisting and shear-free null vector field k. From the coordinate components of the curvature tensor we explicitly derive all Weyl scalars of various boost weights. This enables us to give a complete algebraic classification of the metrics in the case when the optically privileged null direction k is a (multiple) Weyl aligned null direction (WAND). No field equations are applied, so the results are valid not only in Einstein's gravity, including its extension to higher dimensions, but also in any metric gravitation theory that admits non-twisting and shear-free spacetimes. We prove that all such geometries are of type I(b), or more special, and we derive surprisingly simple necessary and sufficient conditions under which k is a double, triple or quadruple WAND. All possible algebraically special types, including the refinement to subtypes, are thus identified, namely

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

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

32

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

34

Pages from-to

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UT code for WoS article

000347294800001

EID of the result in the Scopus database

2-s2.0-84918527068