Trajectories connecting two submanifolds on a non-complete Lorentzian manifold

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dc.contributor.authorBartolo, Rossella
dc.contributor.authorGerminario, Anna
dc.contributor.authorSanchez, Miguel
dc.date.accessioned2021-04-05T16:51:46Z
dc.date.available2021-04-05T16:51:46Z
dc.date.issued2004-01-14
dc.description.abstractThis article presents existence and multiplicity results for orthogonal trajectories joining two submanifolds Σ1 and Σ2 of a static space-time manifold M under the action of gravitational and electromagnetic vector potential. The main technical difficulties are because M may not be complete and Σ1, Σ2 may not be compact. Hence, a suitable convexity assumption and hypotheses at infinity are needed. These assumptions are widely discussed in terms of the electric and magnetic vector fields naturally associated. Then, these vector fields become relevant from both their physical interpretation and the mathematical gauge invariance of the equation of the trajectories.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBartolo, R., Germinario, A., & Sanchez, M. (2004). Trajectories connecting two submanifolds on a non-complete Lorentzian manifold. <i>Electronic Journal of Differential Equations, 2004</i>(10), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13329
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectLorentzian manifolds
dc.subjectGravitational and electromagnetic fields
dc.subjectConvex boundary
dc.subjectCritical point theory
dc.titleTrajectories connecting two submanifolds on a non-complete Lorentzian manifold
dc.typeArticle

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