Uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
The result's identifiers
Result code in 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>
Alternative codes found
RIV/00216208:11320/25:10511987
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/GA25-15544S" target="_blank" >GA25-15544S: Black holes and double copy in theories of gravity</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
112
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
23
Pages from-to
044050
UT code for WoS article
001591853400013
EID of the result in the Scopus database
2-s2.0-105022414611