Open AccessSpherically symmetric T-solution of the equations of 5-dimensional Kaluza–Klein theory
Author(s) -
V. D. Gladush
Publication year - 2020
Publication title -
journal of physics and electronics
Language(s) - English
Resource type - Journals
eISSN - 2664-3626
pISSN - 2616-8685
DOI - 10.15421/332020
Subject(s) - kaluza–klein theory , physics , scalar (mathematics) , gravitation , scalar field , einstein , mathematical physics , einstein field equations , classical mechanics , hilbert space , action (physics) , theoretical physics , quantum mechanics , geometry , mathematics
A geometrodynamical approach to the five-dimensional (5D) spherically symmetric cosmological model in the Kaluza–Klein theory is constructed. After dimensional reduction, the 5D Hilbert action is reduced to the Einstein form describing the gravitational, electromagnetic, and scalar interacting fields. The subsequent transition to the configuration space leads to the supermetric and the Einstein–Hamilton–Jacobi equation, with the help of which the trajectories in the configuration space are found. Then the evolutionary coordinate is restored, and the Cauchy problem is solved to find the time dependence of the metric and fields. The configuration corresponds to a cosmological model of the Kantovsky–Sachs type, which has a hypercylinder topology and includes scalar and electromagnetic fields with contact interaction.