Ricci Solitons and Einstein-Scalar Field Theory

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dc.creatorAkbar, M M
dc.creatorWoolgar, E
dc.date2008-08-22
dc.date2009-01-12
dc.date.accessioned2026-07-07T12:43:57Z
dc.date.available2026-07-07T12:43:57Z
dc.descriptionB List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism. We use this observation to associate to each static Ricci flat spacetime a local Ricci soliton in one higher dimension. As well, solutions of Euclidean-signature Einstein gravity coupled to a free massless scalar field with nonzero cosmological constant are associated to shrinking or expanding Ricci solitons. We exhibit examples, including an explicit family of complete expanding solitons which can be thought of as a Ricci flow for a complete Lorentzian metric. The possible generalization to Ricci-flat stationary metrics leads us to consider an alternative to Ricci flow.
dc.description17 pages, 1 figure; Revised version (organizational changes, other minor revisions and corrections, citations corrected and added), to appear in CQG
dc.identifierhttps://arxiv.org/abs/0808.3126
dc.identifierhttp://arxiv.org/abs/0808.3126
dc.identifierClass.Quant.Grav.26:055015,2009
dc.identifierdoi:10.1088/0264-9381/26/5/055015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220602
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleRicci Solitons and Einstein-Scalar Field Theory
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