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Dirac fields on asymptotically flat space-times

This work is devoted to the study of Dirac fields and of their evolution on globally hyperbolic asymptotically flat space-times by means of 3+1 decomposition techniques. The principles of the 3+1 decomposition are explained and used to define classes of space-times for which the regularity and fall-off at infinity of the metric are precisely specified. Dirac's equation is expressed and its 3+1 decomposition is described both in terms of Dirac spinors and in the framework of the two-spinor formalism....

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