Exact Bianchi type-(I,V) solutions of the Einstein equations with scalar and spinor fields

Details Exact Bianchi type-(I,V) solutions of the Einstein equations with scalar and spinor fields Exact Bianchi type-(I,V) solutions of the Einstein equations with scalar and spinor fields

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..42.1098c&link_type=abstract

Physical Review D (Particles and Fields), Volume 42, Issue 4, 15 August 1990, pp.1098-1104

Physics

5

Exact Solutions

Scientific paper

Exact solutions to the Einstein-Dirac-Klein-Gordon equations are found in Bianchi type-I and type-V spacetimes. When the spinor field is massive, the Bianchi type-I universe has singularities of the Zel'dovich type, and it may begin anisotropically at a singularity, leading to a dust-filled Friedmann stage at late times. For ``ghost neutrinos'' we get an axisymmetric Zel'dovich universe. These solutions have particle horizons. For the Bianchi type-V model there exist solutions which begin at a singularity, tending to flat spacetime at late times. In this case the neutrinos are not ``ghost'' ones.

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