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

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

2000-11-13

arxiv.org/abs/gr-qc/0011045v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, LaTeX. The title is squeezed. Some typos and explanations are removed. New references are added and all references a

Scientific paper

Conditions 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

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