Geometric Constraint in Brane-World

dc.creatorMonte, E. M.
dc.date2006-02-15
dc.date.accessioned2026-07-07T07:02:37Z
dc.date.available2026-07-07T07:02:37Z
dc.descriptionThe brane-worlds model was inspired partly by Kaluza-Klein's theory, where the gravitation and the gauge fields are obtained of a geometry of higher dimension (bulk). Such a model has been showing positive in the sense of we find perspectives and probably deep modifications in the physics, such as: Unification in a scale TeV, quantum gravity in this scale and deviation of Newton's law for small distances. One of the principles of this model is to suppose a space-time embedded in a bulk of high dimension. In this note it is shown, basing on the theorem of Collinson-Szekeres, that the space-time of Schwarzschild cannot be embedded locally and isometrically in a bulk of five dimensions with constant curvature,(for example ADS-5). From the point of view of the semi-Riemannian geometry this last result consists constraints to the model brane-world.
dc.description4 pages. Proceedings of 10th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG X MMIII), Rio de Janeiro, Brazil, 20-26 Jul 2003
dc.identifierhttps://arxiv.org/abs/gr-qc/0602060
dc.identifierhttp://arxiv.org/abs/gr-qc/0602060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108668
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeometric Constraint in Brane-World
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