The Klein-Gordon equation in the spacetime of a charged and rotating black hole

Abstract

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein-Gordon equation in this spacetime, which is given in terms of the confluent Heun functions. In the particular case corresponding to an extreme Kerr-Newman black hole the solution is given by the double confluent Heun functions. We also investigate the solutions in regions near the event horizon and far from the black hole.

13 pages

Cited by in corpus (41)

• Wave Dark Matter
• Ionization of Gravitational Atoms
• Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation
• Black Hole Hair from Scalar Dark Matter
• On the growth of massive scalar hair around a Schwarzschild black hole
• Quasinormal modes of Kerr-de Sitter black holes via the Heun function
• Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime
• The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• Axion-photon mixing in quantum field theory and vacuum energy
• Analytic solutions in the dyon black hole with a cosmic string: scalar fields, Hawking radiation and energy flux
• The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes
• The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions
• Exact solution for wave scattering from black holes: Formulation
• On the Global Casimir Effect in the Schwarzschild Spacetime
• Four five-parametric and five four-parametric independent confluent Heun potentials for the stationary Klein-Gordon equation
• Superradiant energy extraction from rotating hairy Horndeski black holes
• Gravitational Interactions of Finite Thickness Global Topological Defects with Black Holes
• Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation
• Quantum mechanics of stationary states of particles in a space-time of classical black holes
• Charged scalar fields in a Kerr-Sen black hole: exact solutions, Hawking radiation, and resonant frequencies
• Classical Tools for Antipodal Identification in Reissner-Nordström Spacetime
• Phenomenological Inclusion of Alternative Dispersion Relations to the Teukolsky Equation and its Application to Bounding the Graviton Mass with Gravitational-wave Measurements
• Superradiance of rotating black holes surrounded by dark matter
• Resonant frequencies of the hydrodynamic vortex
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• Interplay between Black Holes and Ultralight Dark Matter: Analytic Solutions
• Several solutions of the Klein-Gordon equation in Kerr-Newman spacetime and the BSW effect
• Resonant frequencies of a charged scalar field in the Garfinkle-Horowitz-Strominger dilaton black hole
• A path to confine gluons and fermions through complex gauge theory
• Variations in the fine structure constant constraining gravity theories
• Tunneling method for Hawking radiation in the Nariai case
• Superradiant instability of dyonic Reissner-Nordstrom black holes
• Quantum mechanics of stationary states of particles in external singular spherically and axially symmetric gravitational and electromagnetic fields
• Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection
• Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity
• Kerr-Sen-like Lorentz violating black holes and Superradiance phenomena
• Analysis of scalar fields with series convolution