Abstract
We have solved the general equations derived in Part I [1] to describe the evolution of the gravitational instability on the background of an oscillating, homogeneous, and isotropic universe in the relativistic theory of gravitation considering a massive graviton. Complete solutions, along with their short-wave and long-wave asymptotics, are given for most distinctive stages of the evolution of the universe, namely, near the turning points corresponding to the maximum and minimum densities, as well as in the radiation-dominated, nonrelativistic, and quintessence stages. In all these cases, except for the turning points, the gauge vectors have been determined for the scalar and vector perturbations, allowing the elimination of wave solutions with a phase velocity that is equal to the speed of light. We conclude that, in principle, the observed structure of the universe could have been formed during a sufficiently large number of its cycles.
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Original Russian Text © K.A. Modestov, Yu.V. Chugreev, 2013, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2013, No. 4(181), pp. 486–500.
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Modestov, K.A., Chugreev, Y.V. Linear perturbations on the cosmological background in the relativistic theory of gravitation: II. Appendix. Phys. Part. Nuclei Lett. 10, 300–308 (2013). https://doi.org/10.1134/S1547477113040110
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DOI: https://doi.org/10.1134/S1547477113040110