Abstract
We consider a self-gravitating, collisionless, single-component, relativistic gas in a space with torsion. For several different metrics, exact particular solutions of the self-consistent Einstein-Cartan-Vlasov equations are obtained for dust with the help of a particular form of the torsion tensor. The solutions obtained are compared with those in general relativity.
Similar content being viewed by others
Literature cited
A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).
G. G. Ivanov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 15 (1979).
F. W. Hehl, Gen. Rel. Grav.,4, 333 (1973).
F. W. Hehl, Gen. Rel. Grav.,5, 491 (1974).
M. Tsamparlis, Phys. Rev.,D24, 1451 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 12–16, October, 1985.
The author thanks G. G. Ivanov for useful discussions.
Rights and permissions
About this article
Cite this article
Galiakhmetov, A.M. Some exact solutions of the self-consistent Einstein-Cartan-Vlasov equations. Soviet Physics Journal 28, 777–780 (1985). https://doi.org/10.1007/BF00897947
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00897947