KONOPLYA, Roman, Zdeněk STUCHLÍK and Olexandr ZHYDENKO. Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations. Physical Review D. 2018, vol. 97, No 8, p. "084044-1"-"084044-14", 14 pp. ISSN 2470-0010. Available from: https://dx.doi.org/10.1103/PhysRevD.97.084044.
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Basic information
Original name Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations
Authors KONOPLYA, Roman (804 Ukraine, guarantor, belonging to the institution), Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution) and Olexandr ZHYDENKO (804 Ukraine, belonging to the institution).
Edition Physical Review D, 2018, 2470-0010.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19240/18:A0000266
Organization unit Faculty of Philosophy and Science in Opava
Doi http://dx.doi.org/10.1103/PhysRevD.97.084044
UT WoS 000430820500005
Keywords in English axisymmetric black holes; separation of variables; Hamilton-Jacobi equation; Klein-Gordon equation
Tags International impact, Reviewed
Links GB14-37086G, research and development project.
Changed by Changed by: RNDr. Jan Hladík, Ph.D., učo 25379. Changed: 4/4/2019 13:24.
Abstract
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.
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