The field theoretical formulation of general relativity and gravity with non-zero masses of gravitons
Abstract
Description
It is a review paper. General relativity (GR) is presented in the field theoretical form, where gravitational field (metric perturbations) together with other physical fields are propagated in an auxiliary arbitrary curved background spacetime. Conserved currents are constructed and expressed through divergences of antisymmetrical tensor densities (superpotentials). This permits to connect local properties of perturbations with the quasi-local nature of the conserved quantities in GR. The problem of the non-localization of energy in GR is presented in exact mathematical expressions. A modification of GR developed recently by Babak and Grishchuk on the basis of the field formulation of GR is described. Their theory includes massive of spin-2 and spin-0 gravitons. All its local weak-field predictions are in agreement with experimental data. The exact equations of the massive theory eliminate the black hole event horizons and give an oscillator behavior for the homogeneous isotropic universe.
LaTeX, 18 pages, no figures. It is a translation with very minor changes of the invited paper to the Russian book referred below. A compressed version of the paper is in the 2-nd volume of the Proceedings to PIRT-IX, London: 3-6 September, 2004, p.p. 433-446
LaTeX, 18 pages, no figures. It is a translation with very minor changes of the invited paper to the Russian book referred below. A compressed version of the paper is in the 2-nd volume of the Proceedings to PIRT-IX, London: 3-6 September, 2004, p.p. 433-446