The Hamilton-Jacobi Approach to Teleparallelism
B. M. Pimentel, P. J. Pompeia, J. F. da Rocha-Neto
TL;DR
This paper applies the Hamilton-Jacobi formalism to analyze the constraint structure of Teleparallelism without relying on traditional decomposition or gauge fixing, demonstrating the integrability of the field equations.
Contribution
It introduces a novel Hamilton-Jacobi approach to Teleparallelism, avoiding common gauge choices and decomposition methods, and shows the system's integrability.
Findings
Field equations form an integrable system
Constraint structure analyzed via Hamilton-Jacobi formalism
No need for ADM 3+1 decomposition or gauge fixing
Abstract
We intend to analyse the constraint structure of Teleparallelism employing the Hamilton-Jacobi formalism for singular systems. This study is conducted without using an ADM 3+1 decomposition and without fixing time gauge condition. It can be verified that the field equations constitute an integrable system.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra