Algebraic classification of higher dimensional spacetimes based on null alignment

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F13%3A00387097" target="_blank" >RIV/67985840:_____/13:00387097 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1088/0264-9381/30/1/013001" target="_blank" >http://dx.doi.org/10.1088/0264-9381/30/1/013001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0264-9381/30/1/013001" target="_blank" >10.1088/0264-9381/30/1/013001</a>

Result language

angličtina

Original language name

Algebraic classification of higher dimensional spacetimes based on null alignment

Original language description

We review recent developments and applications of the classification of the Weyl tensor in higher dimensional Lorentzian geometries. First, we discuss the general setup, i.e. main definitions and methods for the classification, some refinements and the generalized Newman?Penrose and Geroch?Held?Penrose formalisms. Next, we summarize general results, such as a partial extension of the Goldberg?Sachs theorem, characterization of spacetimes with vanishing (or constant) curvature invariants and the peelingbehaviour in asymptotically flat spacetimes. Finally, we discuss certain invariantly defined families of metrics and their relation with the Weyl tensor classification, including Kundt and Robinson?Trautman spacetimes; the Kerr?Schild ansatz in a constant-curvature background; purely electric and purely magnetic spacetimes; direct and (some) warped products; and geometries with certain symmetries. To conclude, some applications to quadratic gravity are also overviewed.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GAP203%2F10%2F0749" target="_blank" >GAP203/10/0749: General relativity in higher dimensions</a><br>

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

—

Volume of the periodical

30

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

57

Pages from-to

—

UT code for WoS article

000312491100002

EID of the result in the Scopus database

—