Explicit algebraic classification of Kundt geometries in any dimension

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10188962" target="_blank" >RIV/00216208:11320/13:10188962 - isvavai.cz</a>

Alternative codes found

RIV/44555601:13440/13:43884976

Result on the web

<a href="http://dx.doi.org/10.1088/0264-9381/30/12/125007" target="_blank" >http://dx.doi.org/10.1088/0264-9381/30/12/125007</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0264-9381/30/12/125007" target="_blank" >10.1088/0264-9381/30/12/125007</a>

Result language

angličtina

Original language name

Explicit algebraic classification of Kundt geometries in any dimension

Original language description

We present an algebraic classification, based on the null alignment properties of the Weyl tensor, of the general Kundt class of spacetimes in arbitrary dimension D for which the non-expanding, non-twisting, shear-free null direction k is a (multiple) Weyl aligned null direction (WAND). No field equations are used, so that the results apply not only to Einstein's gravity and its direct extension to higher dimensions, but also to any metric theory of gravity which admits the Kundt spacetimes. By an explicit evaluation of the Weyl tensor in a natural null frame we demonstrate that all Kundt geometries are of type I(b) or more special, and we derive simple necessary and sufficient conditions under which k becomes a double, triple or quadruple WAND. All possible algebraically special types, including the refinement to subtypes, are identified, namely II(a), II(b), II(c), II(d), III(a), III(b), N, O, IIi, IIIi, D(a), D(b), D(c) and D(d). The corresponding conditions are surprisingly clear a

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

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

30

Issue of the periodical within the volume

12

Country of publishing house

GB - UNITED KINGDOM

Number of pages

25

Pages from-to

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UT code for WoS article

000319664000008

EID of the result in the Scopus database

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