Extended Kerr-Schild spacetimes: general properties and some explicit examples

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00434069" target="_blank" >RIV/67985840:_____/14:00434069 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1088/0264-9381/31/18/185013" target="_blank" >http://dx.doi.org/10.1088/0264-9381/31/18/185013</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/0264-9381/31/18/185013" target="_blank" >10.1088/0264-9381/31/18/185013</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Extended Kerr-Schild spacetimes: general properties and some explicit examples

Popis výsledku v původním jazyce

We study extended Kerr-Schild (xKS) spacetimes, i.e. extensions of the Kerr-Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the metric. In contrast to the KS case, we obtain only a necessary condition under which the KS vector is geodetic. However, it is shown that this condition becomes sufficient if we appropriately restrict the geometry of the null KS and spacelike vector. It turns out that xKS spacetimes with a geodetic KS vector are of Weyl type I and the KS vector has the same optical properties in the full and background spacetimes. In the case of Kundt xKS spacetimes, the compatible Weyl types are further restricted and a few examples of such metrics are provided. The relation of pp-waves to theclass of Kundt xKS spacetimes is briefly discussed.

Název v anglickém jazyce

Extended Kerr-Schild spacetimes: general properties and some explicit examples

Popis výsledku anglicky

We study extended Kerr-Schild (xKS) spacetimes, i.e. extensions of the Kerr-Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the metric. In contrast to the KS case, we obtain only a necessary condition under which the KS vector is geodetic. However, it is shown that this condition becomes sufficient if we appropriately restrict the geometry of the null KS and spacelike vector. It turns out that xKS spacetimes with a geodetic KS vector are of Weyl type I and the KS vector has the same optical properties in the full and background spacetimes. In the case of Kundt xKS spacetimes, the compatible Weyl types are further restricted and a few examples of such metrics are provided. The relation of pp-waves to theclass of Kundt xKS spacetimes is briefly discussed.

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/GB14-37086G" target="_blank" >GB14-37086G: Centrum Alberta Einsteina pro gravitaci a astrofyziku</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

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

31

Číslo periodika v rámci svazku

18

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

33

Strana od-do

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Kód UT WoS článku

000341484200014

EID výsledku v databázi Scopus

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