The Role of Elliptic Operators in the Initial-Value Problem for General Relativity

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dc.creatorEsposito, Giampiero
dc.creatorStornaiolo, Cosimo
dc.date2000-12-18
dc.date.accessioned2026-07-07T03:25:31Z
dc.date.available2026-07-07T03:25:31Z
dc.descriptionThe Arnowitt-Deser-Misner (ADM) equations are deeply intertwined with discrete spectral resolutions of an elliptic operator of Laplace type associated with the spacelike hypersurfaces which foliate the space-time manifold, and the non-linearities of the four-dimensional hyperbolic theory are mapped into the potential term occurring in this operator. The ADM equations are here re-expressed as a coupled first-order system for the induced metric and the trace-free part of the extrinsic-curvature tensor, and their formulation in terms of integral equations is studied.
dc.description9 pages, Latex
dc.identifierhttps://arxiv.org/abs/gr-qc/0012064
dc.identifierhttp://arxiv.org/abs/gr-qc/0012064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33739
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Role of Elliptic Operators in the Initial-Value Problem for General Relativity
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