Semi-analytic expressions for quasinormal modes of slowly rotating Kerr black holes

被引:18
作者
Hatsuda, Yasuyuki [1 ]
Kimura, Masashi [1 ]
机构
[1] Rikkyo Univ, Dept Phys, Tokyo 1718501, Japan
关键词
GRAVITATIONAL-RADIATION; EQUATIONS; PERTURBATIONS;
D O I
10.1103/PhysRevD.102.044032
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We provide semi-analytic expressions for quasinormal mode frequencies of slowly rotating Kerr black holes to the quadratic order in the rotation parameter. We apply the parametrized black hole quasinormal mode ringdown formalism to the Chandrasekhar-Detweiler equation and the Sasaki-Nakamura equation instead of the Teukolsky equation, and compare our result with the previous numerical calculations.
引用
收藏
页数:11
相关论文
共 20 条
[1]   Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions [J].
Berti, E ;
Cardoso, V ;
Casals, M .
PHYSICAL REVIEW D, 2006, 73 (02)
[2]   Gravitational-wave spectroscopy of massive black holes with the space interferometer LISA [J].
Berti, E ;
Cardoso, V ;
Will, CM .
PHYSICAL REVIEW D, 2006, 73 (06)
[3]   Quasinormal modes of black holes and black branes [J].
Berti, Emanuele ;
Cardoso, Vitor ;
Starinets, Andrei O. .
CLASSICAL AND QUANTUM GRAVITY, 2009, 26 (16)
[4]   Parametrized black hole quasinormal ringdown: Decoupled equations for nonrotating black holes [J].
Cardoso, Vitor ;
Kimura, Masashi ;
Maselli, Andrea ;
Berti, Emanuele ;
Macedo, Caio F. B. ;
McManus, Ryan .
PHYSICAL REVIEW D, 2019, 99 (10)
[5]   Black Holes in an Effective Field Theory Extension of General Relativity [J].
Cardoso, Vitor ;
Kimura, Masashi ;
Maselli, Andrea ;
Senatore, Leonardo .
PHYSICAL REVIEW LETTERS, 2018, 121 (25)
[6]   EQUATIONS GOVERNING GRAVITATIONAL PERTURBATIONS OF KERR BLACK-HOLE [J].
CHANDRASEKHAR, S ;
DETWEILER, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 350 (1661) :165-174
[7]   Black hole gravitational waves in the effective field theory of gravity [J].
de Rham, Claudia ;
Francfort, Jeremie ;
Zhang, Jun .
PHYSICAL REVIEW D, 2020, 102 (02)
[8]   RESONANT OSCILLATIONS OF A RAPIDLY ROTATING BLACK-HOLE [J].
DETWEILER, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 352 (1670) :381-395
[9]   Quasinormal modes of black holes and Borel summation [J].
Hatsuda, Yasuyuki .
PHYSICAL REVIEW D, 2020, 101 (02)
[10]   Note on the parametrized black hole quasinormal ringdown formalism [J].
Kimura, Masashi .
PHYSICAL REVIEW D, 2020, 101 (06)