Mathematical Support to Braneworld Theory

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dc.creatorMonte, Edmundo M.
dc.date2008-03-07
dc.date.accessioned2026-07-07T11:56:21Z
dc.date.available2026-07-07T11:56:21Z
dc.descriptionThe braneworld theory appear with the purpose of solving the problem of the hierarchy of the fundamental interactions. The perspectives of the theory emerge as a new physics, for example, deviation of the law of Newton's gravity. One of the principles of the theory is to suppose that the braneworld is local submanifold in a space of high dimension, the bulk, solution of Einstein's equations in high dimension. In this paper we approach the mathematical consistency of this theory with a new proof of the fundamental theorem of submanifolds for case of semi-Riemannian manifolds. This theorem consist an essential mathematical support for this new theory. We find the integrability conditions for the existence of space-time submanifolds in a pseudo-Euclidean space. Keywords: Submanifolds, Braneworld, Pseudo-Riemannian geometry
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0803.1004
dc.identifierhttp://arxiv.org/abs/0803.1004
dc.identifierInt.J.Geom.Meth.Mod.Phys.04:1259-1267,2008
dc.identifierdoi:10.1142/S0219887807002557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205554
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject53B25 (Primary); 83E15 (Secondary)
dc.titleMathematical Support to Braneworld Theory
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