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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 6, p.545-553
https://doi.org/10.15407/ujpe62.06.0545    Paper

Kuzmichev V.E., Kuzmichev V.V.


Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14-b, Metrolohichna Str., Kiev 03680, Ukraine; e-mail: vkuzmichev@bitp.kiev.ua)

Behavior of the Gravitational System Close to the Planck Epoch

Section: Astrophysics and Cosmology
Original Author's Text:  English

Abstract: The evolution of a quantum gravitational system (QGS) with the maximally symmetric geometry in the epoch close to the Planck one is investigated. The state vector of the QGS satisfies the set of wave equations which describes the time evolution of the quantum system in the space of quantum fields. It is shown that, for the time arrow from past to future, the state vector describes the QGS contracting for the negative values of the cosmic scale factor and expanding for its positive values. The intensity distributions of matter for two exactly solvable models of spatially closed and flat QGSs formed by dust and radiation are calculated. The analogies with known phenomena in quantum mechanics and optics are drawn.

Key words: quantum gravity, quantum geometrodynamics, cosmology.