The Initial Value Problem in Light of Ashtekar's Variables

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dc.creatorCapovilla, R.
dc.creatorDell, J.
dc.creatorJacobson, T.
dc.date1993-02-18
dc.date.accessioned2026-07-07T03:29:59Z
dc.date.available2026-07-07T03:29:59Z
dc.descriptionThe form of the initial value constraints in Ashtekar's hamiltonian formulation of general relativity is recalled, and the problem of solving them is compared with that in the traditional metric variables. It is shown how the general solution of the four diffeomorphism constraints can be obtained algebraically provided the curvature is non-degenerate, and the form of the remaining (Gauss law) constraints is discussed. The method is extended to cover the case when matter is included, using an approach due to Thiemann. The application of the method to vacuum Bianchi models is given. The paper concludes with a brief discussion of alternative approaches to the initial value problem in the Ashtekar formulation.
dc.description15 pages, UMDGR93-140, NSF-ITP-93-20
dc.identifierhttps://arxiv.org/abs/gr-qc/9302020
dc.identifierhttp://arxiv.org/abs/gr-qc/9302020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35398
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Initial Value Problem in Light of Ashtekar's Variables
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