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

2010/01/13 by V. O. Soloviev, Vladimir O. Soloviev, Soloviev, V. O. +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.1001.2099

8 pages, Russian

arxiv created 2010/01/13 · openalex publication_date 2010/01/13 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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