Radial solutions of the Dirac equation in a Lemaitre metric.

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Schwarzschild Black Holes, Black Holes: Accretion

Scientific paper

Radial solutions of the Dirac equation in a metric with spheroidal symmetry are given. It is shown that there exists no quantum bound states of fermions about the Schwarzschild black hole. Some cases are discussed, one is a soliton wave of the temporal state, which provides a new insight for checking the existence of a black hole, the other is a solution of the stationary state which describes the accretion and vaporization of the black hole.

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