A lower bound for the eigenvalues of the Sen-Witten operator on closed spacelike hypersurfaces

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dc.creatorSzabados, Laszlo B
dc.date2007-12-17
dc.date.accessioned2026-07-07T08:49:43Z
dc.date.available2026-07-07T08:49:43Z
dc.descriptionThe eigenvalue problem for the Sen--Witten operator on closed spacelike hypersurfaces is investigated. The (square of its) eigenvalues are shown to be given exactly by the 3-surface integral appearing in the expression of the total energy-momentum of the matter+gravity systems in Witten's energy positivity proof. A sharp lower bound for the eigenvalues, given in terms of the constraint parts of the spacetime Einstein tensor, i.e. the energy and momentum densities of the matter fields, is given.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0712.2785
dc.identifierhttp://arxiv.org/abs/0712.2785
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144401
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleA lower bound for the eigenvalues of the Sen-Witten operator on closed spacelike hypersurfaces
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