Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
arXiv:1603.02233 · doi:10.1016/j.aop.2016.06.016
Abstract
We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes, namely, the ones generated by a Kerr-Newman-Kasuya spacetime (dyon black hole) and a Reissner-Nordström black hole surrounded by a magnetic field (Ernst spacetime). In both spacetimes, the solutions for the angular and radial parts of the corresponding Klein-Gordon equations are obtained exactly, for massive and massless fields, respectively. The special cases of Kerr and Schwarzschild black holes are analyzed and the solutions obtained, as well as in the case of a Schwarzschild black hole surrounded by a magnetic field. In all these special situations, the resonant frequencies, Hawking radiation and scattering are studied.
18 pages. This paper was unified and published with arXiv:1603.02240
References in corpus (1)
Cited by in corpus (44)
- Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation
- Quasibound states of Schwarzschild acoustic black holes
- Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
- Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
- Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
- Quasinormal Modes of a Schwarzschild Black Hole Immersed in an Electromagnetic Universe
- Instability of the charged massive scalar field on the Kerr-Newman black hole spacetime
- Quasibound States, Stability and Wave Functions of the Test Fields in the Consistent 4D Einstein-Gauss-Bonnet Gravity
- Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
- Scattering state and bound state of scalar field in Schwarzschild spacetime: Exact solution
- Scalar perturbations of black holes in Jackiw-Teitelboim gravity
- Exact solution for wave scattering from black holes: Formulation
- Scalar scattering in Schwarzschild spacetime: Integral equation method
- Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
- Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
- Black holes, stationary clouds and magnetic fields
- Generalized confluent hypergeometric solutions of the Heun confluent equation
- Quasibound states of scalar fields in the consistent 4D Einstein-Gauss-Bonnet-(Anti-)de Sitter gravity
- Charged scalar fields in a Kerr-Sen black hole: exact solutions, Hawking radiation, and resonant frequencies
- Stokes phenomenon and Hawking Radiation
- Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems
- Scalar field in Reissner-Nordström spacetime: Bound state and scattering state
- Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
- Massless fermions on static general prolate metrics and their Heun solutions
- Resonant frequencies of the hydrodynamic vortex
- Scalar fields in a five-dimensional Lovelock black hole spacetime
- On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole
- Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
- Scalar resonant frequencies and Hawking effect of an global monopole
- Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
- Klein Gordon particle near R-N black hole, generalized sl(2) algebra and harmonic oscillator energy
- Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole
- Charged massless scalar fields in a charged -metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves
- On the five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states
- Quasibound states of massive charged scalars around dilaton black holes in dimensions: Exact frequencies
- Absorption and scattering of massless scalar waves by black holes in quasi-topological gravity
- Quasibound states of analytic black-hole configurations in three and four dimensions
- On the Form of Solutions of Fuchsian differential Equations with n regular singular Points
- Analysis of scalar fields with series convolution
- Investigation of hidden symmetry in black hole with Heun equation
- Charged black holes in de Sitter space: superradiant amplification of charged scalar waves and resonant hyperradiation
- Hypergeometric expansions of the general Heun function governed by two-term recurrence relations