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Gravitational energy-momentum and the Hamiltonian formulation of the teleparallel gravity

2001/06/15 by G. Y. Chee, Guoying Chee, Ye Zhang +4
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0106053

11 pages, no figure

arxiv created 2001/06/15 · openalex publication_date 2001/06/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The transformation properties of the gravitational energy-momentum in the teleparallel gravity are analyzed. It is proved that the gravitational energy-momentum in the teleparallel gravity can be expressed in terms of the Lorentz gauge potential, and therefore is not covariant under local Lorentz transformations. On the other hand, it can also be expressed in terms of the translation gauge field strength, and therefore is covariant under general coordinate transformations. A simplified Hamiltonian formulation of the teleparallel gravity is given. Its constraint algebra has the same structure as that of general relativity, which indicates the equivalence between the teleparallel gravity and general relativity in the Hamiltonian formulation.

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