Seminar talk, 4 March 2015

Speaker: Rostislav Polishchuk

Title: Problem of energy in the Einstein-Cartan gravitational theory

Abstract:
Einstein-Cartan-Kibble-Sciama equations are formed as Maxwell equations and the nonabelian quantum field theory: the codifferential of the tetrad differential is equal to the conserved tetradic current.

The divergent term of the Hilbert action, which is the difference of the Hilbert and Gibbons-Hawking actions, is analyzed.

A canonical calibration of the tetrad which defines six 2-directions of extreme values of the sectional Riemannian curvature is suggested.

An integral equivalent of convoluted Bianchi identities in the form of nonlocal integral conservation law is obtained.

By way of example, tetradic currents of Schwarzschild and de Sitter universes are considered.