On Dirac fields in a curved space-time

Details On Dirac fields in a curved space-time On Dirac fields in a curved space-time

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jpha...12.2429g&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 12, Dec. 1979, p. 2429-2435.

Physics

9

Cosmology, Neutrinos, Relativity, Space-Time Functions, Astronomical Models, Dirac Equation, Spinor Groups, Tensor Analysis

Scientific paper

The anomalies associated with neutrino fields in general relativity also occur with Dirac fields. For spin-1/2 particles with nonzero rest-mass, the sign of the energy density is generally dependent upon the observer. Thus spin-1/2 particles do not satisfy the energy condition that is required for the singularity theorems in general relativity. For weak gravitational fields the anomalies may never occur. However, in a situation of gravitational collapse it is not reasonable to expect Dirac particles to satisfy the usual energy conditions.

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