On redshift and parallaxes in general relativistic kinematical world models.

Mathematics – Logic

Scientific paper

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Relativity Theory: Cosmological Models

Scientific paper

A Lorentzian space-time, along with an observer field (= timelike vector field), are considered. Several theorems are presented that are concerned with the redshift and parallaxes in such a model. Here the term "parallaxes" stands for the relative motion of two observers at the celestial sphere of a third observer. As an important mathematical tool, the index form along a lightlike geodesic is used.

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