Abstract
The method, developed in an earlier paper, for tracing geodesies of particles and light rays through Regge calculus space-times, is applied to a number of problems in the Schwarzschild geometry. It is possible to obtain accurate predictions of light bending by taking sufficiently small Regge blocks. Calculations of perihelion precession, Thomas precession, and the distortion of a ball of fluid moving on a geodesic can also show good agreement with the analytic solution. However difficulties arise in obtaining accurate predictions for general orbits in these space-times. Applications to other problems in general relativity are discussed briefly.
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Williams, R.M., Ellis, G.F.R. Regge calculus and observations. II. Further applications. Gen Relat Gravit 16, 1003–1021 (1984). https://doi.org/10.1007/BF00760639
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DOI: https://doi.org/10.1007/BF00760639