On the Covariant Hamilton-Jacobi Equation for the Teleparallel Equivalent of General Relativity
Monika E. Pietrzyk, C\'ecile Barbachoux
TL;DR
This paper derives the covariant Hamilton-Jacobi equation for the Teleparallel Equivalent of General Relativity using the De Donder-Weyl covariant Hamiltonian framework and constraint analysis.
Contribution
It introduces a covariant Hamilton-Jacobi formulation for TEGR based on second-class constraints within the De Donder-Weyl theory.
Findings
Derived the covariant Hamilton-Jacobi equation for TEGR
Analyzed second-class constraints in the covariant Hamiltonian framework
Extended the De Donder-Weyl approach to TEGR
Abstract
The covariant Hamilton-Jacobi equation for the Teleparallel Equivalent of General Relativity is derived based on the analysis of the second-class constraints within the covariant Hamiltonian theory of De Donder-Weyl according to the constraints algorithm developed by Kanatchikov.
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Taxonomy
TopicsRelativity and Gravitational Theory · Algebraic and Geometric Analysis · Geophysics and Sensor Technology