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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

  • Czech description

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

    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