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Formation of Supermassive Nuclei of Black Holes in the Early Universe by the Mechanism of Scalar-Gravitational Instability. III. Large-Scale Picture

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Abstract

We study the dependence of the parameters of the evolution of scalarly charged black holes (BHs) in the early Universe on the parameters of field theories of interaction, and the influence of the geometric structure of the relative position of BHs on the limitation of their maximum mass, The problem of the metric of a scalarly charged BH in a medium of expanding scalarly charged matter is discussed, the expression is obtained for the macroscopic cosmological constant at late stages of expansion, generated by quadratic fluctuations of the metric, connecting the cosmological constant value with the BH masses and their concentration.

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Notes

  1. We use the Planck system of units \(G=c=\hbar=1\).

  2. These are combinations of the equations \({}^{1}_{1}\), \({}^{4}_{4}\) and the scalar field equation.

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ACKNOWLEDGMENTS

The author is grateful to the participants of the seminar of the Department of Relativity and Gravity at Kazan University for a useful discussion of some aspects of the work. The author is especially grateful to professors S.V. Sushkov and A.B. Balakin.

Funding

The work was carried out using subsidies allocated as part of state support for the Kazan (Volga Region) Federal University in order to increase its competitiveness among the world’s leading scientific and educational centers.

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  1. Institute of Physics, Kazan Federal University, Kremlyovskaya str., 16A, Kazan, 420008, 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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Ignat’ev, Y.G. Formation of Supermassive Nuclei of Black Holes in the Early Universe by the Mechanism of Scalar-Gravitational Instability. III. Large-Scale Picture. Gravit. Cosmol. 30, 141–148 (2024). https://doi.org/10.1134/S0202289324700038

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