Canonical formalism of the Relativistic Theory of Gravitation
V.O. Soloviev, M.V. Tchichikina
TL;DR
This paper derives the Hamiltonian formulation of the Relativistic Theory of Gravitation with a nonzero graviton mass, clarifying its constraint structure and symmetry properties.
Contribution
It provides a canonical formalism for RTG, explicitly deriving the Hamiltonian, constraints, and Poincare generators, and clarifies the theory's symmetry and conservation laws.
Findings
No first class constraints in RTG.
Poincare algebra is realized in Dirac brackets.
The theory has 10 conservation laws.
Abstract
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.
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Algebraic and Geometric Analysis