Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves

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.

arXiv comment18 pages. This paper was unified and published with arXiv:1603.02240

References in corpus (11)

• Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
• Classes of Exact Solutions to the Teukolsky Master Equation
• Scattering of scalar waves by rotating black holes
• Exact Solutions of Regge-Wheeler Equation and Quasi-Normal Modes of Compact Objects
• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• The Klein-Gordon equation in the spacetime of a charged and rotating black hole
• Bound states of the Dirac equation on Kerr spacetime
• Application of the confluent Heun functions for finding the quasinormal modes of nonrotating black holes
• Analytic solutions in the dyon black hole with a cosmic string: scalar fields, Hawking radiation and energy flux
• Scattering of Scalar Waves by Schwarzschild Black Hole Immersed in Magnetic Field
• Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation

Cited by in corpus (46)

• Heun Functions and Some of Their Applications in Physics
• 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
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
• 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
• Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
• 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
• Generalized confluent hypergeometric solutions of the Heun confluent equation
• Black holes, stationary clouds and magnetic fields
• 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
• Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
• On the Schwarzschild-Anti-de Sitter black hole with an f(R) global monopole
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• Klein-Gordon oscillator subject to a Coulomb-type potential in Bonnor-Melvin universe with a cosmological constant
• Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole
• Klein Gordon particle near R-N black hole, generalized sl(2) algebra and harmonic oscillator energy
• Charged massless scalar fields in a charged $C$-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves
• 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 five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states
• Quasibound states of massive charged scalars around dilaton black holes in $2+1$ dimensions: Exact frequencies
• Analysis of scalar fields with series convolution
• Charged black holes in de Sitter space: superradiant amplification of charged scalar waves and resonant hyperradiation
• On the Form of Solutions of Fuchsian differential Equations with n regular singular Points
• Hypergeometric expansions of the general Heun function governed by two-term recurrence relations
• Investigation of hidden symmetry in $Ad{S}_5$ black hole with Heun equation