Finite Action Klein-Gordon Solutions on Lorentzian Manifolds

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dc.creatorKozlov, V. V.
dc.creatorVolovich, I. V.
dc.date2006-03-28
dc.date.accessioned2026-07-07T07:37:12Z
dc.date.available2026-07-07T07:37:12Z
dc.descriptionThe eigenvalue problem for the square integrable solutions is studied usually for elliptic equations. In this note we consider such a problem for the hyperbolic Klein-Gordon equation on Lorentzian manifolds. The investigation could help to answer the question why elementary particles have a discrete mass spectrum. An infinite family of square integrable solutions for the Klein-Gordon equation on the Friedman type manifolds is constructed. These solutions have a discrete mass spectrum and a finite action. In particular the solutions on de Sitter space are investigated.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0603111
dc.identifierhttp://arxiv.org/abs/gr-qc/0603111
dc.identifierInt.J.Geom.Meth.Mod.Phys. 3 (2006) 1349-1358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120694
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleFinite Action Klein-Gordon Solutions on Lorentzian Manifolds
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