Uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00638429" target="_blank" >RIV/67985840:_____/25:00638429 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10511987

Výsledek na webu

<a href="https://doi.org/10.1103/j8l8-w56l" target="_blank" >https://doi.org/10.1103/j8l8-w56l</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/j8l8-w56l" target="_blank" >10.1103/j8l8-w56l</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions

Popis výsledku v původním jazyce

We study the class of six-dimensional Λ-vacuum spacetimes which admit a nondegenerate multiple Weyl aligned null direction ℓ (thus being of Weyl type II or more special) with a “generic” optical matrix. Subject to an additional assumption on the asymptotic falloff of the Weyl tensor, we obtain the most general metric of this class, which is specified by one discrete (normalized) and three continuous parameters. All solutions turn out to be Kerr-Schild spacetimes of type D and, in passing, we comment on their Kerr-Schild double copy. We further show that the obtained family is locally isometric to the general doubly spinning Kerr-NUT-(A)dS metric with the NUTs parameters switched off. In particular, the Kerr-(A)dS subclass and its extensions (i.e., analytic continuation and 'infinite-rotation' limit) are recovered when certain polynomial metric functions are assumed to be fully factorized. As a side result, a unified metric form which encompasses all three branches of the extended Kerr-(A)dS family in all even dimensions is presented in an appendix.

Název v anglickém jazyce

Uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions

Popis výsledku anglicky

We study the class of six-dimensional Λ-vacuum spacetimes which admit a nondegenerate multiple Weyl aligned null direction ℓ (thus being of Weyl type II or more special) with a “generic” optical matrix. Subject to an additional assumption on the asymptotic falloff of the Weyl tensor, we obtain the most general metric of this class, which is specified by one discrete (normalized) and three continuous parameters. All solutions turn out to be Kerr-Schild spacetimes of type D and, in passing, we comment on their Kerr-Schild double copy. We further show that the obtained family is locally isometric to the general doubly spinning Kerr-NUT-(A)dS metric with the NUTs parameters switched off. In particular, the Kerr-(A)dS subclass and its extensions (i.e., analytic continuation and 'infinite-rotation' limit) are recovered when certain polynomial metric functions are assumed to be fully factorized. As a side result, a unified metric form which encompasses all three branches of the extended Kerr-(A)dS family in all even dimensions is presented in an appendix.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

<a href="/cs/project/GA25-15544S" target="_blank" >GA25-15544S: Černé díry a dvojitá kopie v teoriích gravitace</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

112

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

044050

Kód UT WoS článku

001591853400013

EID výsledku v databázi Scopus

2-s2.0-105022414611