Near-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics

Simple item page
dc.creatorIsenberg, James
dc.creatorClausen, Adam
dc.creatorAllen, Paul T
dc.date2007-10-03
dc.date2008-02-15
dc.date.accessioned2026-07-07T11:19:44Z
dc.date.available2026-07-07T11:19:44Z
dc.descriptionWe show that sets of conformal data on closed manifolds with the metric in the positive or zero Yamabe class, and with the gradient of the mean curvature function sufficiently small, are mapped to solutions of the Einstein constraint equations. This result extends previous work which required the conformal metric to be in the negative Yamabe class, and required the mean curvature function to be nonzero.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0710.0725
dc.identifierhttp://arxiv.org/abs/0710.0725
dc.identifierClass.Quant.Grav.25:075009,2008
dc.identifierdoi:10.1088/0264-9381/25/7/075009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193787
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNear-Constant Mean Curvature Solutions of the Einstein Constraint Equations with Non-Negative Yamabe Metrics
dc.typetext

Files

Collections

arXiv