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V. O. Soloviev

Publications and source records attributed to V. O. Soloviev.

4 recordsLinked to original sources
arXiv2011

Ultralocal energy density in massive gravity

We provide a space-time covariant Hamiltonian treatment for a finite-range gravitational theory. The Kuchar approach is used to demonstrate the bimetric picture of space-time in its most transparent form. This Hamiltonian formalism is applied for the straightforward realization of the Poincaré algebra in Dirac brackets. It uncovers the simplest form of the Poincaré generators expressed as spatial integrals of ultralocal quantities constructed pure algebraically by means of the two space-time metrics.

gr-qc↗
arXiv2010

Canonical formalism of the Relativistic Theory of Gravitation

The Hamiltonian of the Relativistic Theory of Gravitation (RTG) with nonzero graviton mass is derived. Scalar field is taken as a matter source. The second class constraints are excluded and Dirac brackets are obtained. There are no first class constraints in the theory. The Poincare group generators are found by specifying the family of hypersurfaces and the Poincare algebra is realized in Dirac brackets. This is in accordance with the statement that there are 10 conservation laws in the RTG.

gr-qc↗