Symplectic formulation of teleparallel gravity
| Autor: | Arief Hermanto, Luh Putu Budi Yasmini, Muhammad Farchani Rosyid |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Gravity (chemistry)
Physics and Astronomy (miscellaneous) Structure (category theory) law.invention General Relativity and Quantum Cosmology symbols.namesake law symbols Noether's theorem Mathematics::Symplectic Geometry Manifold (fluid mechanics) Symplectic geometry Mathematics Mathematical physics |
| Zdroj: | International Journal of Geometric Methods in Modern Physics. 17:2050096 |
| ISSN: | 1793-6977 0219-8878 |
| Popis: | Teleparallel gravity has been formulated in the symplectic-geometrical fashion. For that purpose, the symplectic potential and the pre-symplectic structure on the manifold of all solutions of the field equation of teleparallel gravity have been firstly constructed from the Lagrangian density of the theory. That the obtained pre-symplectic structure is a symplectic structure also has been proved. It has been shown that the symplectic potential obtained from the Lagrangian density up to a factor is equal to the superpotential of teleparallel gravity. The Hamiltonian formulation of teleparallel gravity has been derived. Furthermore, the Poisson bracket between arbitrary two classical observables (i.e. real-valued functional) defined on the symplectic manifold of all solutions of the field equation of teleparallel gravity has constructed. The Hamiltonian vector field associated to an observable has been obtained. The formulation of Noether theorem in the symplectic formulation of teleparallel gravity has been investigated. |
| Databáze: | OpenAIRE |
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