Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00644178" target="_blank" >RIV/67985840:_____/25:00644178 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10511992
Result on the web
<a href="https://doi.org/10.1103/y6sl-b6x4" target="_blank" >https://doi.org/10.1103/y6sl-b6x4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/y6sl-b6x4" target="_blank" >10.1103/y6sl-b6x4</a>
Alternative languages
Result language
angličtina
Original language name
Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
Original language description
We explicitly show that certain four-dimensional infinitesimal group actions with three-dimensional orbits are related by double Wick rotations. In particular, starting with the symmetries of the spherical/hyperbolic/planar Taub-NUT spacetimes, one can obtain symmetries of the near-horizon extreme Kerr (NHEK) geometry or swirling universe by complex analytic continuations of coordinates. Similarly, the static spherical/hyperbolic/planar symmetries (i.e., symmetries of the Schwarzschild spacetime and other A-metrics) are mapped to symmetries of the B-metrics (or Melvin spacetime). All these mappings are theory independent-they constitute relations among symmetries themselves, and, hence among the classes of symmetry-invariant metrics and electromagnetic field strengths, rather than among specific solutions. Consequently, finding, e.g., vacuum Taub-NUT–type solutions in a given gravitational theory automatically yields vacuum NHEK- or swirling-type solutions of that theory, with a possible extension to the electromagnetic case.
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
12
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
124040
UT code for WoS article
001643264800005
EID of the result in the Scopus database
2-s2.0-105026695564