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.
Similar content being viewed by others
Literature cited
L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1973).
N. Rosen, Phys. Rev.,57, 147 (1940).
I. I. Gutman, Zh. Éksp. Teor. Fiz.,37, 1639 (1959).
D. E. Burlankov, Zh. Éksp. Teor. Fiz.,44, 1941 (1963).
N. Rosen, The III International School of Cosmology and Gravitation, Erice, May 8–20, 1974, p. 2.
L. P. Grishchuk, A. N. Petrov, and A. D. Popova, Commun. Math. Phys.,94, 379 (1984).
L. P. Grishchuk and A. N. Petrov, Zh. Éksp. Teor. Fiz.,92, 9 (1987).
R. M. Avakian and L. Sh. Grigorian, Astrophys. Space Sci.,146, 183 (1988).
N. Rosen, J. Gen. Rel. Grav.,9, 339 (1978).
N. A. Chernikov, Soobshch. OIYaI, R2-87-683, Dubna (1987).
L. Sh. Grigorian, Astrofizika,30, 380 (1989).
L. Sh. Grigorian and A. A. Saharian, Astrophys. Space Sci.,167, 271 (1990).
A. A. Saharian and L. Sh. Grigorian, Astrofizika,32, 491 (1990).
B. G. Bergmann, Int. J. Theor. Phys.,1, 25 (1968).
R. V. Wagoner, Phys. Rev., D1, 3209 (1970).
C. Will, Theory and Experiment in Gravitational Physics, Cambridge Univ. Press, Cambridge, U.K. (1981).
D. L. Lee, Phys. Rev.,D10, 2374 (1974).
Y. Nutku, Astrophys. J.,158, 991 (1971).
A. A. Logunov and M. A. Mestvirishvili, Relativistic Theory of Gravitation [in Russian], Nauka, Moscow (1989).
S. Weinberg, Gravitation and Cosmology, Wiley, N.Y. (1972).
M. R. Avakian, L. Sh. Grigorian, and A. A. Saharian, Astrofizika,34, 265 (1991).
G. S. Sahakian, Equilibrium Configurations of Degenerate Gas Masses [in Russian], Nauka, Moscow (1972).
Author information
Authors and Affiliations
Additional information
Translated from Astrofizika, Vol. 37, No. 1, pp. 147–160, January–March, 1994.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02113999