Some cosmological models with spin and torsion. II - Axially symmetric models with a uniform magnetic field

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Cosmology, Magnetic Effects, Spin, Torsion, Magnetic Field Configurations, Spin Dynamics

Scientific paper

In axially-symmetric cosmological models of the Einstein-Cartan theory (which may be briefly called `general relativity plus spin'), the axis of symmetry is at the same time the direction of the magnetic field, and of the aligned spins. The general set of relevant equations is given. Some exact solutions of this set constitute quasi-Euclidean and semiclosed cosmologies with a uniform magnetic field and aligned spinning matter. In contrast to the situation in the framework of general relativity, one may obtain non-singular solutions. Such a behaviour of the solutions of the Einstein-Cartan theory is rendered possible by the specific spin-spin repulsive interaction which is inherent in the theory

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