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@article{49281,
author = {Konoplya, Roman and Pappas, Thomas and Stuchlík, Zdeněk},
article_location = {COLLEGE PK},
article_number = {8},
doi = {http://dx.doi.org/10.1103/PhysRevD.102.084043},
keywords = {NORMAL-MODES; SYMMETRICAL-SOLUTIONS; SPACE; THERMODYNAMICS},
language = {eng},
issn = {1550-7998},
journal = {Physical Review D},
title = {General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory},
url = {https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.084043},
volume = {102},
year = {2020}
}
TY - JOUR
ID - 49281
AU - Konoplya, Roman - Pappas, Thomas - Stuchlík, Zdeněk
PY - 2020
TI - General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory
JF - Physical Review D
VL - 102
IS - 8
SP - "084043-1"-"084043-14"
EP - "084043-1"-"084043-14"
PB - AMER PHYSICAL SOC
SN - 15507998
KW - NORMAL-MODES
KW - SYMMETRICAL-SOLUTIONS
KW - SPACE
KW - THERMODYNAMICS
UR - https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.084043
N2 - Here we have developed the general parametrization for spherically symmetric and asymptotically flat black-hole spacetimes in an arbitrary metric theory of gravity. The parametrization is similar in spirit to the parametrized post-Newtonian approximation, but valid in the whole space outside the event horizon, including the near horizon region. This generalizes the continued-fraction expansion method in terms of a compact radial coordinate suggested by Rezzolla and Zhidenko [Phys. Rev. D 90, 084009 (2014)] for the four-dimensional case. As the first application of our higher-dimensional parametrization we have approximated black-hole solutions of the Einstein-Lovelock theory in various dimensions. This allows one to write down the black-hole solution which depends on many parameters (coupling constants in front of higher curvature terms) in a very compact analytic form, which depends only upon a few parameters of the parametrization. The approximate metric deviates from the exact (but extremely cumbersome) expressions by fractions of one percent even at the first order of the continued-fraction expansion, which is confirmed here by computation of observable quantities, such as quasinormal modes of the black hole.
ER -
KONOPLYA, Roman, Thomas PAPPAS a Zdeněk STUCHLÍK. General parametrization of higher-dimensional black holes and its application to Einstein-Lovelock theory. \textit{Physical Review D}. COLLEGE PK: AMER PHYSICAL SOC, roč.~102, č.~8, s.~''084043-1''-''084043-14'', 14 s. ISSN~1550-7998. doi:10.1103/PhysRevD.102.084043. 2020.
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