Rotating spacetimes with a free scalar field in four and five dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635608" target="_blank" >RIV/67985840:_____/25:00635608 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10505675
Result on the web
<a href="https://doi.org/10.1140/epjc/s10052-025-14282-y" target="_blank" >https://doi.org/10.1140/epjc/s10052-025-14282-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjc/s10052-025-14282-y" target="_blank" >10.1140/epjc/s10052-025-14282-y</a>
Alternative languages
Result language
angličtina
Original language name
Rotating spacetimes with a free scalar field in four and five dimensions
Original language description
We construct explicit rotating solutions in Einstein’s theory of relativity with a minimally coupled free scalar field rederiving and finding solutions in four or five spacetime dimensions. These spacetimes describe, in particular, the back-reaction of a free scalar field evolving in a Kerr spacetime. Adapting the general integrability result obtained many years ago from Eriş–Gürses to simpler spherical coordinates, we present a method for rederiving the four-dimensional Bogush–Gal’tsov solution. Furthermore, we find the five-dimensional spacetime featuring a free scalar with two distinct angular momenta. In the static limit, these five-dimensional geometries provide higher-dimensional extensions of the Zipoy–Voorhees spacetime. Last but not least, we obtain the four-dimensional version of a Kerr–Newman-NUT spacetime endowed with a free scalar, where the scalar field’s radial profile is extended to incorporate dependence on the polar angular coordinate. Our results offer a comprehensive analysis of several recently proposed four-dimensional static solutions with scalar multipolar hair, representing a unified study of spacetimes with a free scalar field in both four and five dimensions under the general integrability result of Eriş–Gürses.
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
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
<a href="/en/project/GA22-14791S" target="_blank" >GA22-14791S: Black hole spacetimes in a general dimension, their properties and interpretation</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
European Physical Journal C
ISSN
1434-6044
e-ISSN
1434-6052
Volume of the periodical
85
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
537
UT code for WoS article
001488650300003
EID of the result in the Scopus database
2-s2.0-105005169872