期刊
PHYSICAL REVIEW D
卷 97, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.084044
关键词
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资金
- Project for fostering collaboration in science, research and education - Moravian-Silesian Region, Czech Republic
- Research Centre for Theoretical Physics and Astrophysics, Faculty of Philosophy and Science of Sileasian University at Opava
- RUDN University Program 5-100
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), Brazil
- Czech Science Foundation [14-37086G]
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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