Nonlinear Dirac fields on the Schwarzschild metric

Published under licence by IOP Publishing Ltd
, , Citation Agnès Bachelot-Motet 1998 Class. Quantum Grav. 15 1815 DOI 10.1088/0264-9381/15/7/003

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1 Université Bordeaux-1, Institut de Mathématiques, Laboratoire CNRS `MAB', F-33405 Talence Cedex, France

Dates

  1. Received 8 December 1997

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0264-9381/15/7/1815

Abstract

We prove the nonexistence on the Schwarzschild metric of particular stationary states for the nonlinear Dirac equation: . In the case where the Schwarzschild metric is restricted to the exterior of a massive star, we investigate numerically the existence of such stationary states with MIT boundary condition.

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10.1088/0264-9381/15/7/003