Abstract

RUIZ, M; ALCUBIERRE, M  and  NUNEZ, D. Regularización de códigos en simetría esférica y axial en relatividad numérica. Rev. mex. fis. [online]. 2007, vol.53, suppl.4, pp.144-147. ISSN 0035-001X.

The use of coordinates adapted to evolving space times with some symmetry is often a source problems, the evolution equations for the geometric quantities have divergences. This problem propagates very fast and makes numerical codes crash. We present a generic algorithm for dealing with the regularization problem that can be used directly on the evolution equations, and which allows very general gauge choices. We explicitly show the regularity of the evolution equations, we describe the corresponding numerical code, and we present several examples clearly showing the regularity of our evolutions.

Keywords : Numerical relativity; spherically symmetric space-time; axi-symmetric space-time; regularity conditions.

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