Weyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle

dc.creatorManoff, S.
dc.creatorDimitrov, B.
dc.date2000-11-13
dc.date2000-11-30
dc.date.accessioned2026-07-07T03:25:24Z
dc.date.available2026-07-07T03:25:24Z
dc.descriptionConditions for the existence of shear-free and expansion-free non-null vector fields in spaces with affine connections and metrics are found. On their basis Weyl's spaces with shear-free and expansion-free conformal Killing vectors are considered. The necessary and sufficient conditions are found under which a free spinless test particle could move in spaces with affine connections and metrics on a curve described by means of an auto-parallel equation. In Weyl's spaces with Weyl's covector, constructed by the use of a dilaton field, the dilaton field appears as a scaling factor for the rest mass density of the test particle. PACS numbers: 02.40.Ky, 04.20.Cv, 04.50.+h, 04.90.+e
dc.description21 pages, LaTeX. The title is squeezed. Some typos and explanations are removed. New references are added and all references are written in the form required by Classical and Quantum Gravity
dc.identifierhttps://arxiv.org/abs/gr-qc/0011045
dc.identifierhttp://arxiv.org/abs/gr-qc/0011045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33693
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleWeyl's spaces with shear-free and expansion-free conformal Killing vectors and the motion of a free spinless test particle
dc.typetext

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