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Relativistic collisionless gas in an isotropic universe within the framework of the Einstein-Cartan theory

  • Elementary Particle Physics and Field Theory
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Soviet Physics Journal Aims and scope

Abstract

Exact solutions of the self-consistent system-of Einstein-Cartan-Vlasov equations in nonrelativistic and ultrarelativistic limits are obtained for a spinless collisionless gas. The investigation is performed for different irreducible parts of the torsion tensor and different values of the cosmological constant. It is shown that torsion creates a curvature type effect. The solution is singular for t = 0. It is shown that the asymptotic of the scale factor a(η) in the ultrarelativistic limit for the torsion expressed in terms of its trace can differ from the Friedman one.

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Authors and Affiliations

  1. V. I. Ul'yanov (Lenin) Kazan State University, USSR

    A. M. Galiakhmetov

Authors
  1. A. M. Galiakhmetov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 62–67, June, 1989.

The author is grateful to G. G. Ivanov and A. V. Zakharov for a number of valuable remarks, and to Prof. V. N. Ponomarev for discussing the research and for critical remarks.

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Galiakhmetov, A.M. Relativistic collisionless gas in an isotropic universe within the framework of the Einstein-Cartan theory. Soviet Physics Journal 32, 461–464 (1989). https://doi.org/10.1007/BF00898632

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  • DOI: https://doi.org/10.1007/BF00898632

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