Non-Existence of Time-Periodic Solutions of the Dirac Equation in a Reissner-Nordstrom Black Hole Background
Felix Finster, Joel Smoller, Shing-Tung Yau
Abstract
It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner-Nordstrom black hole background; in particular, there are no static solutions of the Dirac equation in such a background field. The physical interpretation is that Dirac particles can either disappear into the black hole or escape to infinity, but they cannot stay on a periodic orbit around the black hole.
Create a lesson
Related papers
Emergent vacua and stability constraints on black hole solutions in higher-dimensional f(R) gravity
Nicolás Trullols Sandino, Andrei Galiautdinov
Electric and magnetic Penrose processes, charged-particle collisions and superradiance around a Lorentz-violating dyonic black hole
Fernando M. Belchior, Edilberto O. Silva
Conformal Cyclic Cosmology from Varying Fundamental Constants
Konrad Marosek, Adam Balcerzak
Perturbations of black holes with primary hair: time evolutions, quasinormal modes and greybody factors
Georgios Antoniou
Gravitational Lensing of Hayward Black Holes with EFT-Corrected Photon Propagation
Takamasa Kanai
Near-Horizon BMS Symmetry and Implications on Black Hole Entropy
Nihar Ranjan Ghosh, Malay K. Nandy