Abstract
In the bimetric theory of gravitation the background metric tensor γ μν , previously taken as describing flat space-time, is now chosen on the basis of a model of the universe. In accordance with the perfect cosmological principle, it is taken as describing a space-time of constant curvature. There are three possible forms, corresponding tok=0, 1, −1. Only fork=1 (a closed universe) does the model not go through a singular state; hence this is the appropriate choice. The isotropic solution of the field equations can be chosen to agree with the present cosmological observations. For small systems like the solar system the theory gives the same results as before, in agreement with those of general relativity.
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References
Rosen, N. (1973).Gen. Rel. Grav.,4, 435.
Rosen, N. (1974).Ann. Phys. N. Y.,84, 455.
Babala, D. (1975).J. Phys. A.,8, 1409.
Goldman, I., and Rosen, N. (1977).Ap. J. 212, 602.
Goldman, I., and Rosen, N. (1977).Gen. Rel. Grav.,7, 895.
Rosen, N. (1977).Ap. J. 211, 357.
Bondi, H., and Gold, T. (1948).Mon. Not. R. Astron. Soc.,108, 252.
Sandage, A. (1975).Ap. J.,202, 563.
Lee, D. L., Caves, C. M., Ni, W. T., and Will, C. M. (1976).Ap. J.,206, 555.
Will, C. M. (1971).Ap. J.,169, 141.
Shapiro, I. I., Smith, W. B., Ash, M. B., Ingalls, R. P., and Pettengill, G. N. (1971).Phys. Rev. Lett.,26, 27.
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Rosen, N. Bimetric gravitation theory on a cosmological basis. Gen Relat Gravit 9, 339–351 (1978). https://doi.org/10.1007/BF00760426
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DOI: https://doi.org/10.1007/BF00760426