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 behavior under a semi-classical approximation of the model. A comparison with the Ostrogradski-Hamilton method for constrained systems is also provided in detail. © 2020 IOP Publishing Ltd.

authors

• Aguilar-Salas A.
• Molgado Ramos Alberto
• Rojas E.

publication date

• 2020-01-01

published in

• Classical and Quantum Gravity  Journal

Digital Object Identifier (DOI)

• 10.1088/1361-6382/ab87d9

start page

end page

volume

• 37

issue

• 14