Constraints of the Teleparallel Equivalent of General Relativity in a gauge
arXiv:2312.15991 · doi:10.1063/5.0221785
Abstract
We consider a specific Hamiltonian formulation of the Teleparallel Equivalent of General Relativity, where the canonical variables are expressed by means of differential forms. We show that some ``position'' variables of this formulation can be always gauge-transformed to zero. In this gauge the constraints of the theory become simpler, and the other ``position'' variables acquire a nice geometric interpretation that allows for an alternative, clearer form of the constraints. Based on these results we derive some exact solutions to the constraints.
arXiv comment32 pages, no figure, LaTeX, the paper substantially rewritten
References in corpus (11)
- The teleparallel equivalent of general relativity
- Teleparallel Gravity: From Theory to Cosmology
- Hamiltonian formulation of general relativity in the teleparallel geometry
- Hamiltonian structure of the teleparallel formulation of GR
- Hamiltonian formulation of teleparallel gravity
- Hamiltonian formulation of unimodular gravity in the teleparallel geometry
- ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
- ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra
- Hamiltonian formulation of a simple theory of the teleparallel geometry
- Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
- Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity I