Abstract
In this work we propose a lagrangian for spinning fluids in the Einstein-Cartan theory. The basic characteristic of the model is to consider each infinitesimal volume element as replicas of micro-rigid bodies. The theory obtained represents the thermodynamical equilibrium limit of a more general situation where dissipative processes due to spin take place. We outline the extension of such processes to the Einstein-Cartan theory.
Similar content being viewed by others
References
Hehl, F. W., von der Heyde, P., Kerlick, G. D., and Nester, J. M. (1976).Rev. Mod. Phys. 48, 393.
Ray, J. R., and Smalley, L. L. (1983).Phys. Rev. D 27, 1383.
Obukhov, Y. N., and Korotky, V. A. (1987).Class. Quant. Grav. 4, 1633.
de Ritis, R., Lavorgna, M., Platania, G., and Stornaiolo, C. (1983).Phys. Rev. D 28, 713.
de Oliveira, H. P., and Salim, J. M. (1991).Class. Quant. Grav. 8, 1199.
Maugin, G. A. (1977).J. Math. Phys. 19, 1220.
Halbwachs, F. (1960).Théorie Relativiste des Fluides à Spin (Gauthler-Villars, Paris).
Unal, B. C., and Vigier, J. P. (1957).Comptes Rend. Acad. Sci. (Paris) II 245, 1781,1891; Takabayasi, T. (1957).Suppl. Prog. Theor. Phys. 4.
Maugin, G. A. and Bringen, A. C. (1972).J. Math. Phys. 13, 1788.
Smalley, L. L. and Ray, J. R. (1986).Gen. Rel. Grav. 18, 549.
Amorin, R. (1985).Phys. Rev. D 31, 3099.
Martins, M. A. P., Vasconcelos-Vaidya, E. P., and Som, M. M. (1991).Class. Quant. Grav. 8, 2225.
Cerdonio, M., Prodi, A. G., and Vitale, S. (1988).Gen. Rel. Grav. 20, 83.
de Oliveira, H. P. (1991). Ph.D. Thesis, CBPF, Rio de Janeiro, unpublished.
Grad, H. (1952).Commun. Pure Appl. Math. 5, 455; Baranowski, B., and Romotowski, T. (1964).Phys. Fluids 7, 763.
Heller, M. (1978).Acta Cosmologica CCCCLXXXIII, 7.
Weinberg, S. (1971).Astrophys. J. 168, 175.
Matzner, R. A., and Misner, C. W. (1972).Astrophys. J. 171, 415.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
de Oliveira, H.P. Spinning fluids in the Einstein-Cartan theory: A variational formulation. Gen Relat Gravit 25, 473–481 (1993). https://doi.org/10.1007/BF00756966
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00756966