Regularization of spherically symmetric evolution codes in numerical relativity

Details Regularization of spherically symmetric evolution codes in numerical relativity Regularization of spherically symmetric evolution codes in numerical relativity

2004-01-28

arxiv.org/abs/gr-qc/0401113v1

Comput.Phys.Commun. 167 (2005) 76-84

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 4 figures, submitted to Computer Physics Communications

Scientific paper

10.1016/j.cpc.2005.01.008

The lack of regularity of geometric variables at the origin is often a source of serious problem for spherically symmetric evolution codes in numerical relativity. One usually deals with this by restricting the gauge and solving the hamiltonian constraint for the metric. Here we present a generic algorithm for dealing with the regularization of the origin that can be used directly on the evolution equations and that allows very general gauge choices. Our approach is similar in spirit to the one introduced by Arbona and Bona for the particular case of the Bona-Masso formulation. However, our algorithm is more general and can be used with a wide variety of evolution systems.

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