Hamiltonian Analysis of Gravitation Theories through the Symplectic Approach.
Name: Mariniel Souza Galvão Junior
Type: PhD thesis
Publication date: 17/06/2021
Advisor:
Name |
Role |
|---|---|
| Davi Cabral Rodrigues | Advisor * |
Examining board:
| Name |
Role |
|---|---|
| Davi Cabral Rodrigues | Advisor * |
| Galen Mihaylov Sotkov | Internal Examiner * |
| Júlio César Fabris | Internal Examiner * |
| Marcelo Santos Guimarães | External Examiner * |
| Nelson Pinto Neto | External Examiner * |
| Roldão da Rocha Junior | External Examiner * |
Summary: We show how to systematically apply the Faddeev-Jackiw symplectic method to General Relativity (GR), GR extensions and tetrad gravity coupled to fermions. We also develop a completely symplectic analysis for the computing of gauge symmetries and apply the results for GR. This provides a new coherent frame for Hamiltonian analyses of gravitational
theories. The emphasis is on the classical dynamics, uncovering the constraints, the gauge transformations, in and off-shell, and the number of degrees of freedom; but the method results are also relevant for canonical quantization approaches. We clarify subtleties of the
symplectic approach and comment on previous symplectic-based Hamiltonian analyses of extended theories of gravity, pointing out that the present approach is systematic, complete and robust.
