تقرير
Hamilton-Jacobi approach for Regge-Teitelboim cosmology
| العنوان: | Hamilton-Jacobi approach for Regge-Teitelboim cosmology |
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| المؤلفون: | Aguilar-Salas, Alejandro, Molgado, Alberto, Rojas, Efrain |
| سنة النشر: | 2020 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology, 70H20, 70H45, 70G75, 81T30, 83F05 |
| الوصف: | 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. Comment: 22 pages, no figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6382/ab87d9 |
| URL الوصول: | http://arxiv.org/abs/2004.01650 |
| رقم الأكسشن: | edsarx.2004.01650 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6382/ab87d9 |
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