New results for electromagnetic quasinormal and quasibound modes of Kerr black holes
arXiv:1412.4111 · doi:10.1007/s10509-015-2398-0
Abstract
The perturbations of the Kerr metric and the miracle of their exact solutions play a critical role in the comparison of predictions of general relativity with astrophysical observations of compact massive objects. The differential equations governing the late-time ring-down of the perturbations of the Kerr metric, the Teukolsky Angular Equation and the Teukolsky Radial Equation, can be solved analytically in terms of confluent Heun functions. In this article, we solve numerically the spectral system formed by those exact solutions and we obtain the electromagnetic (EM) spectra of the Kerr black hole. Because of the novel direct way of imposing the boundary conditions, one is able to discern three different types of spectra: the well-known quasinormal modes (QNM), the symmetric with respect to the real axis quasibound modes (QBM) and a spurious spectrum who is radially unstable. This approach allows clearer justification of the term "spurious" spectrum, which may be important considering the recent interest in the spectra of the electromagnetic counterparts of events producing gravitational waves.
arXiv comment12 pages, 8 figures, some sections reworked and new comments added, final published version. arXiv admin note: substantial text overlap with arXiv:1112.0310
References in corpus (27)
- Quasinormal modes of black holes and black branes
- Quasinormal modes of black holes: from astrophysics to string theory
- How to tell a gravastar from a black hole
- Quasi-Normal Modes and Gravitational Wave Astronomy
- Gravitational wave signatures of the absence of an event horizon. I. Nonradial oscillations of a thin-shell gravastar
- Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
- Open Questions in GRB Physics
- A detailed study of quasinormal frequencies of the Kerr black hole
- Search for gravitational waves associated with gamma-ray bursts during LIGO science run 6 and Virgo science runs 2 and 3
- Classes of Exact Solutions to the Teukolsky Master Equation
- Search for Gravitational Wave Bursts from Six Magnetars
- A novel paradigm for short gamma-ray bursts with extended X-ray emission
- On the detectability of dual jets from binary black holes
- Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects
- Search for gravitational-wave bursts associated with gamma-ray bursts using data from LIGO Science Run 5 and Virgo Science Run 1
- Analytic treatment of black-hole gravitational waves at the algebraically special frequency
- Teukolsky-Starobinsky Identities - a Novel Derivation and Generalizations
- Electromagnetic Counterparts to Black Hole Mergers
- Application of the confluent Heun functions for finding the quasinormal modes of nonrotating black holes
- Slowly balding black holes
- Stepwise Filter Correlation Method and Evidence of Superposed Variability Components in GRB Prompt Emission Lightcurves
- Properties of Accretion Flows Around Coalescing Supermassive Black Holes
- Toward an optimal search strategy of optical and gravitational wave emissions from binary neutron star coalescence
- Solving systems of transcendental equations involving the Heun functions
- Unconventional Gravitational Excitation of a Schwarzschild Black Hole
- The Spectrum of Electromagnetic Jets from Kerr Black Holes and Naked Singularities in the Teukolsky Perturbation Theory
- Dynamics and Thermodynamics of Blackholes and Naked Singularities
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- Heun Functions and Some of Their Applications in Physics
- Complete quasinormal modes of Type-D black holes
- Investigating the planar circular restricted three-body problem with strong gravitational field
- Wave equations in conformally separable, accreting, rotating black holes
- The Heun functions and their applications in astrophysics
- Investigation of hidden symmetry in black hole with Heun equation