The exact cosmological solution to the dynamical equations for the Bianchi IX model

TL;DR

This paper presents an exact solution to the quantum cosmological equations for the Bianchi IX model, demonstrating how a gravitational vacuum condensate influences cosmological evolution.

Contribution

It provides the first exact solution to the extended phase space quantum geometrodynamics equations for Bianchi IX, linking the gravitational vacuum condensate to cosmological dynamics.

Findings

Exact solution to Bianchi IX quantum equations obtained

Gravitational vacuum condensate acts as a cosmological evolution factor

Solutions align with existing cosmological concepts

Abstract

Quantum geometrodynamics in extended phase space describes phenomenologically the integrated system ``a physical object + observation means (a gravitational vacuum condensate)''. The central place in this version of QGD belongs to the Schrodinger equation for a wave function of the Universe. An exact solution to the ``conditionally-classical'' set of equations in extended phase space for the Bianchi-IX model and the appropriate solution to the Schrodinger equation are considered. The physical adequacy of the obtained solutions to existing concepts about possible cosmological scenarios is demonstrated. The gravitational vacuum condensate is shown to be a cosmological evolution factor.