Homogeneous symmetry operators in Kerr-NUT-AdS spacetimes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10491993" target="_blank" >RIV/00216208:11320/24:10491993 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=hYPtILcw9p" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=hYPtILcw9p</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.109.084027" target="_blank" >10.1103/PhysRevD.109.084027</a>
Alternative languages
Result language
angličtina
Original language name
Homogeneous symmetry operators in Kerr-NUT-AdS spacetimes
Original language description
It is well known that the Kerr-Newmann-Unti-Tamburino-anti -de Sitter spacetimes possess hidden symmetries encoded in the so-called principal Killing-Yano tensor. In this paper, focusing on the fourdimensional case, we obtain a number of symmetry operators for scalar, vector, and tensor perturbations, that are of degree 2 (to be defined below) and homogeneous in the principal tensor. In particular, by considering homogeneous operators that are linear, quadratic, and cubic in the principal tensor, we recover a complete set of four mutually commuting operators for scalar perturbations, underlying the separability of (massive) scalar wave equation. Proceeding to vector and tensor perturbations of the Kerr-Newmann-Unti-Tamburinoanti -de Sitter spacetimes, we find a set of seven and eight commuting operators, respectively. It remains to be seen whether such operators can be used to separate the corresponding spin 1 and spin 2 test field equations in these spacetimes.
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
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA23-07457S" target="_blank" >GA23-07457S: Hidden Symmetries and Black Hole Chemistry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
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
109
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
084027
UT code for WoS article
001224280700004
EID of the result in the Scopus database
2-s2.0-85190465571