Skip to main content
Log in

Bimetric formulation of scalar-tensor theories of gravitation and conservation laws

  • Published:
Astrophysics Aims and scope

Abstract

The scalar-tensor theories are formulated against a flat background space-time. Expressions for various energy-momentum tensors of the gravitational field and relations between them are obtained. Integral conservation laws are examined and formulas for four-momentum and angular momentum tensor of the gravitational field together with the matrix are derived.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  2. N. Rosen, Phys. Rev.,57, 147 (1940).

    Google Scholar 

  3. I. I. Gutman, Zh. Éksp. Teor. Fiz.,37, 1639 (1959).

    Google Scholar 

  4. D. E. Burlankov, Zh. Éksp. Teor. Fiz.,44, 1941 (1963).

    Google Scholar 

  5. N. Rosen, The III International School of Cosmology and Gravitation, Erice, May 8–20, 1974, p. 2.

  6. L. P. Grishchuk, A. N. Petrov, and A. D. Popova, Commun. Math. Phys.,94, 379 (1984).

    Google Scholar 

  7. L. P. Grishchuk and A. N. Petrov, Zh. Éksp. Teor. Fiz.,92, 9 (1987).

    Google Scholar 

  8. R. M. Avakian and L. Sh. Grigorian, Astrophys. Space Sci.,146, 183 (1988).

    Google Scholar 

  9. N. Rosen, J. Gen. Rel. Grav.,9, 339 (1978).

    Google Scholar 

  10. N. A. Chernikov, Soobshch. OIYaI, R2-87-683, Dubna (1987).

  11. L. Sh. Grigorian, Astrofizika,30, 380 (1989).

    Google Scholar 

  12. L. Sh. Grigorian and A. A. Saharian, Astrophys. Space Sci.,167, 271 (1990).

    Google Scholar 

  13. A. A. Saharian and L. Sh. Grigorian, Astrofizika,32, 491 (1990).

    Google Scholar 

  14. B. G. Bergmann, Int. J. Theor. Phys.,1, 25 (1968).

    Google Scholar 

  15. R. V. Wagoner, Phys. Rev., D1, 3209 (1970).

    Google Scholar 

  16. C. Will, Theory and Experiment in Gravitational Physics, Cambridge Univ. Press, Cambridge, U.K. (1981).

    Google Scholar 

  17. D. L. Lee, Phys. Rev.,D10, 2374 (1974).

    Google Scholar 

  18. Y. Nutku, Astrophys. J.,158, 991 (1971).

    Google Scholar 

  19. A. A. Logunov and M. A. Mestvirishvili, Relativistic Theory of Gravitation [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  20. S. Weinberg, Gravitation and Cosmology, Wiley, N.Y. (1972).

    Google Scholar 

  21. M. R. Avakian, L. Sh. Grigorian, and A. A. Saharian, Astrofizika,34, 265 (1991).

    Google Scholar 

  22. G. S. Sahakian, Equilibrium Configurations of Degenerate Gas Masses [in Russian], Nauka, Moscow (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Astrofizika, Vol. 37, No. 1, pp. 147–160, January–March, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saharian, A.A. Bimetric formulation of scalar-tensor theories of gravitation and conservation laws. Astrophysics 37, 89–96 (1994). https://doi.org/10.1007/BF02113999

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02113999

Keywords

Navigation