Curvature effects on tests for quasar alignment

Physics – Optics

Scientific paper

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Alignment, Curvature, Geometrical Optics, Mass Distribution, Quasars, Astronomical Coordinates, Cartesian Coordinates, Polar Coordinates, Spherical Coordinates, Universe

Scientific paper

Effects are discussed which affect searches for triplet (or higher order) alignments of objects in the sky, particularly relevant for quasar alignments. An effect which can readily be corrected for is the incautious use of a Cartesian projection of a spherical polar coordiante system when the alignments in fact lie on great circles. A much more significant effect is the random fluctuation in positions induced by non-homogeneous clumping of matter in the Universe. It appears that this effect would seriously dilute any statistical test for alignments in which the central quasar is at a moderate cosmological distance. From isotropy arguments the linearity of alignments cannot be affected by the overall curvature of the Universe.

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