Exact solutions of Regge-Wheeler equation and quasi-normal modes of compact objects

被引:69
|
作者
Fiziev, PP [1 ]
机构
[1] Univ Sofia, Dept Theoret Phys, Sofia 1164, Bulgaria
关键词
D O I
10.1088/0264-9381/23/7/015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The well-known Regge-Wheeler equation describes the axial perturbations of the Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques to study the boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects are developed.
引用
收藏
页码:2447 / 2468
页数:22
相关论文
共 50 条
  • [21] Roper resonances and quasi-normal modes of Skyrmions
    C. Adam
    M. Haberichter
    T. Romanczukiewicz
    A. Wereszczynski
    [J]. Journal of High Energy Physics, 2018
  • [22] Quasi-normal modes in topologically massive gravity
    Sachs, Ivo
    Solodukhin, Sergey N.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2008, (08):
  • [23] Quasi-normal modes and gravitational wave astronomy
    Ferrari, Valeria
    Gualtieri, Leonardo
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2008, 40 (05) : 945 - 970
  • [24] Quasi-normal modes and gravitational wave astronomy
    Valeria Ferrari
    Leonardo Gualtieri
    [J]. General Relativity and Gravitation, 2008, 40 : 945 - 970
  • [25] From regular black holes to horizonless objects: quasi-normal modes, instabilities and spectroscopy
    Franzin, Edgardo
    Liberati, Stefano
    Vellucci, Vania
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2024, (01):
  • [26] On the perturbative formalism and a possible quantum Discrete spectrum for the Regge-Wheeler equation of a De Sitter spacetime
    Viaggiu, Stefano
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2022, 19 (12)
  • [27] Quasi-normal modes of stars and black holes
    Kokkotas K.D.
    Schmidt B.G.
    [J]. Living Reviews in Relativity, 1999, 2 (1)
  • [28] Roper resonances and quasi-normal modes of Skyrmions
    Adam, C.
    Haberichter, M.
    Romanczukiewicz, T.
    Wereszczynski, A.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (03):
  • [29] Hawking temperatuire from quasi-normal modes
    Kiefer, C
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (17) : L123 - L127
  • [30] QUASI-NORMAL MODES OF A BLACK-HOLE
    PANCHAPAKESAN, N
    MAJUMDAR, B
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 1987, 136 (02) : 251 - 257