A Friedmann cosmological model, generalized to the epoch of dominance of dark matter, is considered. Its equation of state is chosen in a new, nonstationary form. Basing our approach on the process of light propagation in such a metric, we have found its refractive index, which turns out to be a constant quantity (or more accurately, one that depends on the epoch of the end of dominance of dark matter) and predict a possible effect of a burst of incoming radiation.
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References
F. Occo, M. Pato, G. Bertone, et al., J. Cosmol. Astropart. Phys., 2011, 029 (2011); https://doi.org/10.1088/1475-7516/2011/11/029.
G. Bertone, D. Hooper, and J. Silk, Phys. Rep., 405, Nos. 5–6, 279–390 (2005); https://doi.org/10.1016/j.physrep.2004.08.031.
P. A. R. Ade et al., Planck Collaboration, Astron. and Astrophys J., 1303, 1–48 (2013); https://doi.org/10.1051/0004-6361/201321529.
V. S. Berezinsky, V. I. Dokuchaev, and Yu. N. Eroshenko, Phys. Usp., 57, 1–36 (2014); https://doi.org/10.3367/UFNr.0184.201401a.0003.
A. M. Green, S. Hofmann, and D. J. Schwarz, MNRAS, 353, No. 3, 23–27 (2004); https://doi.org/10.1111/j.1365-2966.2004.08232.x.
L. D. Landau and E. M. Lifshitz, Statistical Physics, Butterworth-Heinemann, London (1980).
A. D. Dolgov, M. V. Sazhin, and Ya. B. Zeldovich, Basics of Modern Cosmology, Editions Frontiers (1990).
A. D. Linde, Elementary Particle Physics and Inflationary Cosmology, CRC Press, Boca Raton (1990).
R. C. Tolman, Relativity, Thermodynamics, and Cosmology, Clarendon Press, Oxford (1949).
Yu. L. Bolotin, D. A. Erokhin, and O. A. Lemets, Usp. Fiz. Nauk, 182, 941–986 (2012); https://doi.org/10.3367/UFNr.0182.201209c.0941.
P. V. Bliokh and A. A. Minakov, Gravitational Lenses [in Russian], Naukova Dumka, Kiev (1989).
L. M. Chechin and G. M. Avkhunbaeva, Russ. Phys. J., 56, No. 2, 144–150 (2013).
L. M. Chechin and D. Kairatkyzy, Dokl. Nats. Akad. Nauk Resp. Kazakh., No. 3, 16–20 (2014).
L. M. Chechin and E. B. Kurmanov, Rec. Cont. Phys., No. 1(68) (2019); https://doi.org/10.26577/RCPh-2019-1-1115.
S. Gardner and D. C. Latimer, Phys. Rev. D, 82, No. 6–15 (2010); https://doi.org/10.1103/PhysRevD.82.063506.
E. V. Linder, Light propagation through gravitationally perturbed Friedmann Universes, Thesis, Stanford Univ., Stanford (1988).
L. M. Chechin, D. Kairatkyzy, and T. K. Konysbaev, Russ. Phys. J., 61, No. 5, 879–886 (2018).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 52–56, January, 2020.
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Chechin, L.M., Kurmanov, E.B. & Konysbaev, T.K. Geometrical Optics in a Universe with Dominance of Dark Matter. Russ Phys J 63, 58–63 (2020). https://doi.org/10.1007/s11182-020-02002-w
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DOI: https://doi.org/10.1007/s11182-020-02002-w