Particles in a stationary spherically symmetric gravitational field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Dirac Equation, Gravitation Theory, Gravitational Fields, Klein-Gordon Equation, Schwarzschild Metric, Field Theory (Physics), Particle Motion, Relativity, Singularity (Mathematics)

Scientific paper

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.

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