Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F18%3AA0000266" target="_blank" >RIV/47813059:19240/18:A0000266 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084044" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084044</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.97.084044" target="_blank" >10.1103/PhysRevD.97.084044</a>
Alternative languages
Result language
angličtina
Original language name
Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations
Original language description
We determine the class of axisymmetric and asymptotically flat black-hole spacetimes for which the test Klein-Gordon and Hamilton-Jacobi equations allow for the separation of variables. The known Kerr, Kerr-Newman, Kerr-Sen and some other black-hole metrics in various theories of gravity are within the class of spacetimes described here. It is shown that although the black-hole metric in the Einstein-dilaton-Gauss-Bonnet theory does not allow for the separation of variables (at least in the considered coordinates), for a number of applications it can be effectively approximated by a metric within the above class. This gives us some hope that the class of spacetimes described here may be not only generic for the known solutions allowing for the separation of variables, but also a good approximation for a broader class of metrics, which does not admit such separation. Finally, the generic form of the axisymmetric metric is expanded in the radial direction in terms of the continued fractions and the connection with other black-hole parametrizations is discussed.
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
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
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
97
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
„084044-1“-„084044-14“
UT code for WoS article
000430820500005
EID of the result in the Scopus database
2-s2.0-85047142096