Kantowski-Sachs cosmological solution with torsion

Details Kantowski-Sachs cosmological solution with torsion Kantowski-Sachs cosmological solution with torsion

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jpha...15.2809l&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 15, Sept. 1982, p. 2809-2812.

Mathematics

10

Astronomical Models, Cosmology, Gravitation Theory, Magnetic Effects, Space-Time Functions, Torsional Stress, Energy Distribution, Equations Of State, Magnetic Fields, Singularity (Mathematics), Torsion

Scientific paper

An exact stiff matter solution with torsion of the Kantowski-Sachs models to the Einstein-Cartan theory of gravitation (ECT) in the presence of a magnetic field is constructed. The models are found to be geodesically incomplete both to the past and the future. Comparisons with the situation where no magnetic field exists shows that the field acts as a tension along its own direction. The ratio of the energy density of the field to the energy density of matter approaches zero at both singularities in the magnetic ECT model.

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