Closed conformal Killing-Yano initial data

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559079" target="_blank" >RIV/67985840:_____/22:00559079 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1088/1361-6382/ac5fbe" target="_blank" >https://doi.org/10.1088/1361-6382/ac5fbe</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/ac5fbe" target="_blank" >10.1088/1361-6382/ac5fbe</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Closed conformal Killing-Yano initial data

Popis výsledku v původním jazyce

Through an exhaustive search, we produce a five-parameter family of propagation identities for the closed conformal Killing-Yano (cCYK) equation on two-forms, which hold on an Einstein cosmological vacuum spacetime in any dimension n > 4. It is well-known that spacetimes admitting a non-degenerate two-form of this type are exhausted by the Kerr-NUT-(A)dS family of exact higher dimensional black hole solutions. As a consequence, we identify a set of necessary and sufficient conditions ensuring that the cosmological vacuum development of an initial data set for Einstein's field equations admits a cCYK two-form. We refer to these conditions as closed conformal Killing-Yano initial data equations. The four-dimensional case is special and is treated separately, where we can also handle the conformal Killing-Yano equation without the closed condition.

Název v anglickém jazyce

Closed conformal Killing-Yano initial data

Popis výsledku anglicky

Through an exhaustive search, we produce a five-parameter family of propagation identities for the closed conformal Killing-Yano (cCYK) equation on two-forms, which hold on an Einstein cosmological vacuum spacetime in any dimension n > 4. It is well-known that spacetimes admitting a non-degenerate two-form of this type are exhausted by the Kerr-NUT-(A)dS family of exact higher dimensional black hole solutions. As a consequence, we identify a set of necessary and sufficient conditions ensuring that the cosmological vacuum development of an initial data set for Einstein's field equations admits a cCYK two-form. We refer to these conditions as closed conformal Killing-Yano initial data equations. The four-dimensional case is special and is treated separately, where we can also handle the conformal Killing-Yano equation without the closed condition.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

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

1361-6382

Svazek periodika

39

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

32

Strana od-do

105002

Kód UT WoS článku

000814375400001

EID výsledku v databázi Scopus

2-s2.0-85133194694