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Hamilton-Jacobi approach for Regge-Teitelboim cosmology
| Content Provider | Semantic Scholar |
|---|---|
| Author | Aguilar-Salas, Alejandro Molgado, Alberto Rojas, Efra'in |
| Copyright Year | 2020 |
| Abstract | The Hamilton-Jacobi formalism for a geodetic brane-like universe described by the Regge-Teitelboim model is developed. We focus on the description of the complete set of Hamiltonians that ensure the integrability of the model in addition to obtaining the Hamilton principal function $S$. In order to do this, we avoid the second-order in derivative nature of the model by appropriately defining a set of auxiliary variables that yields a first-order Lagrangian. Being a linear in acceleration theory, this scheme unavoidably needs an adequate redefinition of the so-called Generalized Poisson Bracket in order to achieve the right evolution in the reduced phase space. Further this Hamilton-Jacobi framework also enables us to explore the quantum behaviour under a semi-classical approximation of the model. A comparison with the Ostrogradski-Hamilton method for constrained systems is also provided in detail. |
| File Format | PDF HTM / HTML |
| DOI | 10.1088/1361-6382/ab87d9 |
| Alternate Webpage(s) | https://arxiv.org/pdf/2004.01650v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1088/1361-6382%2Fab87d9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
