Astrophysics and Space Science

, Volume 40, Issue 1, pp 167–181 | Cite as

Some cosmological models with spin and torsion

II: Axially symmetric models with a uniform magnetic field
  • B. Kuchowicz
Article

Abstract

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.

Keywords

Magnetic Field Exact Solution General Relativity Cosmological Model Repulsive Interaction 

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Copyright information

© D. Reidel Publishing Company 1976

Authors and Affiliations

  • B. Kuchowicz
    • 1
  1. 1.Dept. of Radiochemistry and Radiation ChemistryUniversity of WarsawPoland

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