Dependence of universe deceleration parameter on cosmological constant mechanism of vacuum pressure excitation by matter

摘要

Based on Sakharov’s idea of a ‘metrical elasticity’ of space, i.e., of theemergence of a generalized force, preventing distortion of space, we detect the pressureof the vacuum as per the geometry of the space around the local gravity system. Thegravitational defect of mass is interpreted as the transfer of energy to the vacuum, whichbecomes apparent from its deformation. We determine the gravitational impact of mat-ter on the vacuum and opposite in the sign pressure of it in case of weakly gravitatingstatic centrally symmetric distribution of matter using appropriate solution of Einstein’sequations. A possibility to extend the obtained results to arbitrary gravitational systemsis evaluated. A non-conservation of energy in gravitational systems is interpreted bythe Extended Space Model (ESM) as the rotation of the energy-momentum vector in 5-dimensional space. A proposed approach to determining pressure as a source of gravityleads to a revision of the dependence of the deceleration parameter of the Universe onthe density parameters. Under this condition we examine the ratio between the densityparameters of dark energy and cosmological constant depending on the decelerationparameter.