Hamiltonian theory for the axial perturbations of a dynamical spherical background

dc.creatorBrizuela, David
dc.creatorMartin-Garcia, Jose M.
dc.date2008-10-27
dc.date.accessioned2026-07-07T12:38:48Z
dc.date.available2026-07-07T12:38:48Z
dc.descriptionWe develop the Hamiltonian theory of axial perturbations around a general time-dependent spherical background spacetime. Using the fact that the linearized constraints are gauge generators, we isolate the physical and unconstrained axial gravitational wave in a Hamiltonian pair of variables. Then, switching to a more geometrical description of the system, we construct the only scalar combination of them. We obtain the well-known Gerlach and Sengupta scalar for axial perturbations, with no known equivalent for polar perturbations. The strategy suggested and tested here will be applied to the polar case in a separate article.
dc.description12 pages, accepted by Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/0810.4786
dc.identifierhttp://arxiv.org/abs/0810.4786
dc.identifierClass.Quant.Grav.26:015003,2009
dc.identifierdoi:10.1088/0264-9381/26/1/015003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218887
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHamiltonian theory for the axial perturbations of a dynamical spherical background
dc.typetext

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