A computer code for the study of spherically-symmetric cosmological space-times

Mathematics – Logic

Scientific paper

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Scientific paper

We describe an Eulerian, explicit computer code for the study of spherically-symmetric cosmological space-times on a Robertson-Walker background. The Einstein equations and the relativistic-hydrodynamic equations are written down for such a space-time using the “3+1” formalism of Arnowitt, Deser, and Misner [1]. Time slices are selected by the constant-mean-curvature criterion. Numerical techniques utilized in the code, as well as several code tests, are discussed, with emphasis on the difficulties encountered and their possible causes and cures.

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