Particles in a stationary spherically symmetric gravitational field
Abstract
Dirac's equation has been considered in a Schwarzschild (Reissner-Nordstrom) background. Resonances in a continuum of states are found, similar to the Klein-Gordon case. The solutions of the Dirac and Klein-Gordon equations are investigated for an extended gravitating source. Special attention has been given to the case in which the radius of the source tends towards its Schwarzschild radius. A limiting charge-to-mass ratio for black holes is obtained.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- April 1977
- DOI:
- 10.1088/0305-4470/10/4/017
- Bibcode:
- 1977JPhA...10..551S
- Keywords:
-
- Black Holes (Astronomy);
- Dirac Equation;
- Gravitation Theory;
- Gravitational Fields;
- Klein-Gordon Equation;
- Schwarzschild Metric;
- Field Theory (Physics);
- Particle Motion;
- Relativity;
- Singularity (Mathematics);
- Astrophysics