Abstract
A definition of the large-scale limit of theories in which the metric and torsion of space-time are independent dynamic variables is given. It is shown that in this limit the equations of motion for a tetradic field coincide with the free Hilbert-Einstein equations.
Similar content being viewed by others
Literature cited
S. Kobayashi and K. Nomizu, Fundamentals of Differential Geometry, Vol. 1, Wiley, New York (1963).
E. Sezgin and P. van Nieuwenhuizen, Phys. Rev.,D21, No. 12, 3269 (1980).
E. Sezgin, Phys. Rev.,D24, No. 6, 1677 (1981).
K. Hayashi and T. Shirafuji, Prog. Theor. Phys.,64, No. 6, 2222 (1980).
R. Rauch, J. C. Shaw, and H. T. Nieh, Gen. Rel. Grav.,14, No. 4, 331 (1982).
I. Bars and S. W. MacDowell, Phys. Lett.,129B, No. 3, 4, 182 (1983).
R. E. Kallosh, Phys. Lett.,143B, No. 4, 5, 6, 373 (1984).
S. M. Christensen, J. Phys.,A13, No. 9, 3001 (1980).
V. de Al'faro, S. Fubini, G. Furlan, and K. Rosetti, Currents in Hadron Physics [Russian translation], Mir, Moscow (1976), p. 670.
K. Stelle, Phys. Rev.,D16, No. 4, 953 (1977).
M. O. Katanaev, Teor. Mat. Fiz.,54, No. 3, 381 (1983).
K. Hayashi and A. Bregman, Ann. Phys.,75, No. 2, 562 (1973).
M. Ferraris, M. Francaviglia, and C. Reina, Gen. Rel. Grav.,14, No. 3, 243 (1982).
H. Weyl, Phys. Rev.,77, No. 5, 699 (1950); T. W. B. Kibble, J. Math. Phys.,2, No. 2, 212 (1961).
S. Deser and B. Zumino, Phys. Lett.,62B, No. 3, 335 (1976).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 39–44, May, 1987.
It remains to thank I. V. Volovich for discussion of the work and valuable comments.
Rights and permissions
About this article
Cite this article
Katanaev, M.A. Large-scale limit of dynamic-torsion theory. Soviet Physics Journal 30, 392–396 (1987). https://doi.org/10.1007/BF00900088
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00900088