Poincare algebra realized in Hamiltonian formalism of the Relativistic Theory of Gravitation

TL;DR

This paper derives the Poincare group generators within the Hamiltonian framework of the Relativistic Theory of Gravitation, demonstrating that RTG possesses a Poincare algebra consistent with its conserved quantities.

Contribution

It explicitly constructs the Poincare algebra in RTG's Hamiltonian formalism, clarifying the symmetry structure of the theory.

Findings

RTG has 10 integrals of motion.

Poincare algebra is realized via Dirac brackets.

Generators are obtained through specific choices of arbitrary functions.

Abstract

We obtain the Poincare group generators by proper choice of arbitrary functions present in the Relativistic Theory of Gravitation (RTG) Hamiltonian. Their Dirac brackets give the Poincare algebra in accordance with the fact that RTG has 10 integrals of motion.