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Gravitational-Scalar Instability of Cosmological Model Based on Two-Component System of Degenerate Scalarly Charged Fermions with Asymmetric Higgs Interaction. I. Equations for Perturbations

  • ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
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Russian Physics Journal Aims and scope

A mathematical model is formulated for the evolution of plane perturbations in a cosmological two-component statistical system of completely degenerate scalarly charged fermions with an asymmetric scalar Higgs interaction. A complete closed system of differential equations are constructed to describe the unperturbed state of a homogeneous and isotropic system and a system of self-consistent evolution equations of small perturbations.

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References

  1. B. P. Abbott (LIGO Scientific Collaboration and Virgo Collaboration) et al., Phys. Rev. Lett., 116, No. 6, 102 (2016).

  2. B. P. Abbott, Phys. Rev. Lett., 116, No. 24, 241103 (2016).

    Article  ADS  Google Scholar 

  3. S. Gillessen, F. Eisenhauer, S. Trippe, et al., Astrophys. J., 692, 1075 (2009); arXiv:0810.4674 [astro-ph].

  4. Sh. Doeleman, J. Weintroub, A. E. E. Rogers, et al., Nature, 455, 78 (2008); arXiv:0809.2442 [astro-ph].

  5. X. Fan, A. Barth, E. Banados, et al., Bull. AAS, 51, No. 3, (2019).

  6. B. Trakhtenbrot, arXiv:2002.00972v2 [astro-ph.GA].

  7. Q. Zhu, et al., arXiv:2012.01458v1 [astro-ph.GA].

  8. L. A. Urena-Lopez and A. R. Liddle, Phys. Rev. D, 66, 083005 (2002); arXiv:astro-ph/0207493.

    Article  ADS  Google Scholar 

  9. P. V. P. Cunha, C. A. R. Herdeiro, E. Radu, and H. F. Rúnarsson, Int. J. Mod. Phys. D, 25, No. 9, 1641021 (2016).

    Article  ADS  Google Scholar 

  10. Ph. Brax, J. A. R. Cembranos, and P. Valageas, Phys. Rev. D, 101, 023521 (2020); arXiv:1909.02614 [astroph. CO].

    Article  ADS  MathSciNet  Google Scholar 

  11. Yu. G. Ignat’ev, Gravit. Cosmol, 27, No. 1, 36–41 (2021); arXiv:2103.13867 [gr-qc].

  12. Yu. G. Ignat’ev and D. Yu. Ignatyev, Theor. Math. Phys., 209, No. 1, 1437–1472 (2021).

  13. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon Press, Oxford, New York, Toronto, Sydney, Paris, Frankfurt (1971).

    MATH  Google Scholar 

  14. Yu. G. Ignat’ev, Theor. Math. Phys., 204, No. 1, 927–946 (2020); arXiv:2004.14865 [gr-qc].

  15. Yu. G. Ignat’ev and D. Yu. Ignatyev, Gravit. Cosmol, 26, No. 3, 249–258 (2020); arXiv:2007.04392 [gr-qc].

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Authors and Affiliations

  1. Institute of Physics of Kazan Federal University, Kazan, Russia

    Yu.G. Ignat’ev

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  1. Yu.G. Ignat’ev
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Correspondence to Yu.G. Ignat’ev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 68–77, September, 2022.

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Ignat’ev, Y. Gravitational-Scalar Instability of Cosmological Model Based on Two-Component System of Degenerate Scalarly Charged Fermions with Asymmetric Higgs Interaction. I. Equations for Perturbations. Russ Phys J 65, 1490–1502 (2023). https://doi.org/10.1007/s11182-023-02795-6

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  • DOI: https://doi.org/10.1007/s11182-023-02795-6

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