A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds

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dc.creatorHebey, Emmanuel
dc.creatorPacard, Frank
dc.creatorPollack, Daniel
dc.date2007-02-05
dc.date.accessioned2026-07-07T11:21:43Z
dc.date.available2026-07-07T11:21:43Z
dc.descriptionWe establish new existence and non-existence results for positive solutions of the Einstein-scalar field Lichnerowicz equation on compact manifolds. This equation arises from the Hamiltonian constraint equation for the Einstein-scalar field system in general relativity. Our analysis introduces variational techniques, in the form of the mountain pass lemma, to the analysis of the Hamiltonian constraint equation, which has been previously studied by other methods.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0702031
dc.identifierhttp://arxiv.org/abs/gr-qc/0702031
dc.identifierCommun.Math.Phys.278:117-132,2008
dc.identifierdoi:10.1007/s00220-007-0377-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194343
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.titleA variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
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