Algebraic classification of higher dimensional spacetimes based on null alignment

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic classification of higher dimensional spacetimes based on null alignment

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Algebraic classification of higher dimensional spacetimes based on null alignment

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GAP203%2F10%2F0749" target="_blank" >GAP203/10/0749: Obecná relativita ve vyšších dimenzích</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

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Svazek periodika

30

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

57

Strana od-do

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Kód UT WoS článku

000312491100002

EID výsledku v databázi Scopus

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