Další formáty:
BibTeX
LaTeX
RIS
@article{30094,
author = {Konoplya, Roman and Stuchlík, Zdeněk and Zhydenko, Olexandr},
article_number = {8},
doi = {http://dx.doi.org/10.1103/PhysRevD.97.084044},
keywords = {axisymmetric black holes; separation of variables; Hamilton-Jacobi equation; Klein-Gordon equation},
language = {eng},
issn = {2470-0010},
journal = {Physical Review D},
title = {Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations},
url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084044},
volume = {97},
year = {2018}
}
TY - JOUR
ID - 30094
AU - Konoplya, Roman - Stuchlík, Zdeněk - Zhydenko, Olexandr
PY - 2018
TI - Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations
JF - Physical Review D
VL - 97
IS - 8
SP - "084044-1"-"084044-14"
EP - "084044-1"-"084044-14"
SN - 24700010
KW - axisymmetric black holes
KW - separation of variables
KW - Hamilton-Jacobi equation
KW - Klein-Gordon equation
UR - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084044
L2 - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.97.084044
N2 - 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.
ER -
KONOPLYA, Roman, Zdeněk STUCHLÍK a Olexandr ZHYDENKO. Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equations. \textit{Physical Review D}. roč.~97, č.~8, s.~''084044-1''-''084044-14'', 14 s. ISSN~2470-0010. doi:10.1103/PhysRevD.97.084044. 2018.
|
