Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes

dc.creatorJanca, Andrew J.
dc.date2007-01-16
dc.date2007-05-01
dc.date.accessioned2026-07-07T07:58:51Z
dc.date.available2026-07-07T07:58:51Z
dc.descriptionA transitional layer matching the asymptotically flat exterior of a charged, massive toroidal body to an interior with spatially cylindrical symmetry is described. The changes in the geometry, which by themselves would require an energy tensor violating the energy conditions of classical general relativity, are compensated for by an additional strong electric field. Part of its gradient is consumed, depending on how much the exterior toroid departs from local cylindrical symmetry; what is left over can be used to effect further transitions in the cylindrical interior. An example is given of such a transition creating an angular deficit, allowing an otherwise infinite cosmic string to be captured within a bounded source.
dc.description14 pages, 5 figures. Numerous small corrections. Added three figures and an appendix on toroidal coordinates. Submitted to Gen. Rel. Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0701085
dc.identifierhttp://arxiv.org/abs/gr-qc/0701085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128156
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes
dc.typetext

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