Regge calculus and observations. I. Formalism and applications to radial motion and circular orbits

Details Regge calculus and observations. I. Formalism and applications to radial motion and circular orbits Regge calculus and observations. I. Formalism and applications to radial motion and circular orbits

Apr 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..361w&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 4, pp.361-395

Physics

19

Scientific paper

A method is developed for tracing geodesics of particles and light rays through Regge calculus space-times. In the flat interiors of the blocks, the geodesics are straight lines, and at the boundaries between blocks they are refracted according to an “extremal distance” law. The method is then tested for the Regge calculus version of the Schwarzschild space-time. For radial motion, it gives good agreement with the analytic solution, provided the blocks are sufficiently small. Exactly circular orbits are impossible in Regge calculus, but it is shown how to construct “approximately circular” ones. These examples are in preparation for an investigation of more general orbits and more general space-times, using Regge calculus.

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