Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
arXiv:1905.05086 · doi:10.1142/S0217732319503231
Abstract
In this paper, we study the existence of (quasi)bound states in two spacetime geometries describing Schwarzschild and Reissner-Nordström black holes. For obtaining this type of states we search for discrete quantum modes of the massive Dirac equation in the two geometries. After imposing the quantization condition, an analytical expression for the energy of the ground states is derived. The energy of higher states is then obtained numerically. For very small values of the black hole mass we compare the energy of the Reissner-Nordström black hole quasibound state with the Dirac-Coulomb energy and we have found the two to be in good agreement.
arXiv comment14 pages, 6 figures. Version accepted for publication in Mod. Phys. Lett. A
References in corpus (49)
- Quasinormal modes of black holes and black branes
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- The black hole bomb and superradiant instabilities
- Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
- Instability of Massive Scalar Fields in Kerr-Newman Spacetime
- Quasinormal modes of regular black holes
- Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
- Decay of charged scalar field around a black hole: quasinormal modes of R-N, R-N-AdS and dilaton black holes
- Fermion scattering by a Schwarzschild black hole
- Schwarzschild black holes can wear scalar wigs
- Dirac quasinormal modes of the Reissner-Nordström de Sitter black hole
- Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
- Late-time behavior of massive Dirac fields in a Schwarzschild background
- Quasinormal modes, scattering and Hawking radiation of Kerr-Newman black holes in a magnetic field
- Are black holes a serious threat to scalar field dark matter models?
- Fermion absorption cross section of a Schwarzschild black hole
- Bound states and decay times of fermions in a Schwarzschild black hole background
- Stationary scalar configurations around extremal charged black holes
- Decay of a charged scalar and Dirac fields in the Kerr-Newman-de Sitter background
- Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
- Black hole quasibound states from a draining bathtub vortex flow
- Quasinormal modes of black holes in Einstein-power-Maxwell theory
- Bound states of the Dirac equation on Kerr spacetime
- Scattering by regular black holes: Planar massless scalar waves impinging upon a Bardeen black hole
- Massive Charged Scalar Quasinormal Modes of Reissner-Nördstrom Black Hole Surrounded by Quintessence
- Resonance and absorption spectra of the Schwarzschild black hole for massive scalar perturbations: a complex angular momentum analysis
- Quasinormal modes of charged fields around a Reissner-Nordström black hole
- Wiggly tails: a gravitational wave signature of massive fields around black holes
- Dirac Quasinormal frequencies of the Kerr-Newman black hole
- Quasi-bound states of massive scalar fields in the Kerr black-hole spacetime: Beyond the hydrogenic approximation
- Scalar clouds around Kerr-Sen black holes
- Quasinormal modes of relativistic stars and interacting fields
- Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes
- Scalar waves in regular Bardeen black holes: Scattering, absorption and quasinormal modes
- Dirac equation in some homogeneous$sqace-times, separation of variables and exact solutions
- Stationary bound-state scalar configurations supported by rapidly-spinning exotic compact objects
- Massive Fermion Emission from Higher Dimensional Black Holes
- Scalar scattering in Schwarzschild spacetime: Integral equation method
- Approximative analytical solutions of the Dirac equation in Schwarzschild spacetime
- Dirac dynamical resonance states around Schwarzschild black holes
- Partial wave analysis of the Dirac fermions scattered from Reissner - Nordstr\" om charged black holes
- Slowly damped quasinormal modes of the massive Dirac field in d-dimensional Tangherlini spacetime
- Scalar scattering from black holes with tidal charge
- Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions
- Fermion scattering by a class of Bardeen black holes
- On Born approximation in black hole scattering
- Scalar field quasinormal frequencies of Reissner-Nordström black hole surrounded by quintessence by using he continued fraction method