A universe with torsion and cosmological constant.

Details A universe with torsion and cosmological constant. A universe with torsion and cosmological constant.

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112.1337p&link_type=abstract

Nuovo Cimento B, Vol. 112B, No. 10, p. 1337 - 1349

Mathematics

Logic

Universe: Cosmological Constant, Universe: Bianchi Models

Scientific paper

The authors extend the solutions of the Einstein-Dirac equations in a Bianchi type-I Universe with torsion found in the context of the ECSK theory of gravitation, to the case in which the cosmological constant Λ is non-zero. Since Λ does not appear in the off-diagonal field equations, one has again that the Universe has plane symmetry and that spin vector has only one non-zero space-component. The solutions of the Einstein-Dirac equations may be classified according to the value of a dimensionless parameter Φ. If Φ < 1, one has the solutions, which extend the old ones when Λ is non-zero: they are singular and have a stationary-type asymptotical behaviour (t → ±∞) to which, because of Λ, constant Hubble functions correspond.

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