Particles in a stationary spherically symmetric gravitational field
Abstract
Dirac's equation has been considered in a Schwarzschild (ReissnerNordstrom) background. Resonances in a continuum of states are found, similar to the KleinGordon case. The solutions of the Dirac and KleinGordon 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 chargetomass ratio for black holes is obtained.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 April 1977
 DOI:
 10.1088/03054470/10/4/017
 Bibcode:
 1977JPhA...10..551S
 Keywords:

 Black Holes (Astronomy);
 Dirac Equation;
 Gravitation Theory;
 Gravitational Fields;
 KleinGordon Equation;
 Schwarzschild Metric;
 Field Theory (Physics);
 Particle Motion;
 Relativity;
 Singularity (Mathematics);
 Astrophysics