A spatially flat Friedmann universe filled with two interacting ideal fluids (dark energy and dark matter) is considered. The gravitational equations of motion are solved with allowance for the interaction between dark energy and dark matter. It is shown that a periodic universe can form with cosmological singularities, it becomes static in the infinitely distant future.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 22–26, October, 2010.
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Timoshkin, A.V. The interaction of special dark energy in the oscillating Friedmann–Robertson–Walker cosmology. Russ Phys J 53, 1005–1010 (2011). https://doi.org/10.1007/s11182-011-9523-5
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DOI: https://doi.org/10.1007/s11182-011-9523-5