Decreasing "circumference" for increasing "radius" in axially symmetric gravitating systems

dc.creatorLubo, M.
dc.date2001-06-22
dc.date.accessioned2026-07-07T04:11:52Z
dc.date.available2026-07-07T04:11:52Z
dc.descriptionApart from the flat space with an angular deficit, Einstein general relativity possesses another cylindrically symmetric solution. Because this configuration displays circles whose "circumferences" tend to zero when their "radius" go to infinity, it has not received much attention in the past. We propose a geometric interpretation of this feature and find that it implies field boundary conditions different from the ones found in the literature if one considers a source consisting of the scalar and the vector fields of a U(1) system . To obtain a non increasing energy density the gauge symmetry must be unbroken . For the Higgs potential this is achieved only with a vanishing vacuum expectation value but then the solution has a null scalar field. A non trivial scalar behaviour is exhibited for a potential of sixth order. The trajectories of test particles in this geometry are studied, its causal structure discussed. We find that this bosonic background can support a normalizable fermionic condensate but not such a current.
dc.description15 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0106208
dc.identifierhttp://arxiv.org/abs/hep-th/0106208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50759
dc.subjectHigh Energy Physics - Theory
dc.titleDecreasing "circumference" for increasing "radius" in axially symmetric gravitating systems
dc.typetext

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