Relativistic astrometry

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrometry, Metric Space, Relativity, Coordinates, Light Scattering, Lorentz Transformations, Schwarzschild Metric, Space-Time Functions

Scientific paper

The problem in a spherically symmetric static metric is considered. It is noted that, as usually expressed, the shape of a null geodesic and hence, in general, the amount of light deflection between two points, depends on the metric used for describing it, although it happens that the asymptotic deflection is the same in both the standard Schwarzschild metric and the isotropic metric. A procedure is developed for calculating direction relative to a local Lorentzian flat spacetime, which is independent of the coordinate metric; the direction as seen by a moving observer is then obtained rigorously from a simple Lorentz transformation.

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