Ostrogradski approach for the Regge-Teitelboim type cosmology

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dc.creatorCordero, Ruben
dc.creatorMolgado, Alberto
dc.creatorRojas, Efrain
dc.date2009-01-14
dc.date.accessioned2026-07-07T12:46:36Z
dc.date.available2026-07-07T12:46:36Z
dc.descriptionWe present an alternative geometric inspired derivation of the quantum cosmology arising from a brane universe in the context of {\it geodetic gravity}. We set up the Regge-Teitelboim model to describe our universe, and we recover its original dynamics by thinking of such field theory as a second-order derivative theory. We refer to an Ostrogradski Hamiltonian formalism to prepare the system to its quantization. Our analysis highlights the second-order derivative nature of the RT model and the inherited geometrical aspect of the theory. A canonical transformation brings us to the internal physical geometry of the theory and induces its quantization straightforwardly. By using the Dirac canonical quantization method our approach comprises the management of both first- and second-class constraints where the counting of degrees of freedom follows accordingly. At the quantum level our Wheeler-De Witt Wheeler equation agrees with previous results recently found. On these lines, we also comment upon the compatibility of our approach with the Hamiltonian approach proposed by Davidson and coworkers.
dc.description11 pages, 2 figures, accepted for publication in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0901.1938
dc.identifierhttp://arxiv.org/abs/0901.1938
dc.identifierPhys.Rev.D79:024024,2009
dc.identifierdoi:10.1103/PhysRevD.79.024024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221439
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOstrogradski approach for the Regge-Teitelboim type cosmology
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