Relativistic angular distance using Synge's world function

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Almost of the studies devoted to relativistic astrometry are based on the integration of the null geodesic differential equations. However, the gravitational deflection of light rays can be calculated by a different method, based on the determination of the bifunction giving half the squared geodesic distance between two arbitrary points-events, the so-called Synge's world function. We explain here how to use the world function to determine the angular distance formed by two light sources such as it is measured by a moving observer.

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