Red shift in the vicinity of a perturbation of the cosmological solution

Mathematics – Logic

Scientific paper

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Cosmology, Light Transmission, Metric Space, Perturbation Theory, Red Shift, Equations Of Motion, Geodesic Lines, Light Beams, Particle Trajectories, Relativity

Scientific paper

In a previous paper Papapetrou (1976) considered the solution to the cosmological problem of the spherically symmetric perturbation of the metric of an expanding universe containing an ideal fluid with vanishing pressure. A consequence of this perturbation of the metric would be a variation in the red shift of the light which passes through the perturbation. This paper develops formulas for determining the variation in the red shift and applying them to the case when the light passes through the symmetry center of the perturbation.

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