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Evolution Schemes

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3+1 Formalism in General Relativity

Part of the book series: Lecture Notes in Physics ((LNP,volume 846))

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Abstract

Various approaches to evolve forward in time the 3+1 Einstein equations are discussed. After a review of constrained schemes, we focus on free evolution schemes, giving some details about the propagation of the constraints. Among the free evolution schemes, a particular important one is the BSSN scheme, which is presented here in details.

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Notes

  1. 1.

    The following computation is inspired from Frittelli’s article [24].

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  1. Lab. Univers et Théories (LUTH) UMR 8102 du CNRS, Observatoire de Paris, Université Paris Diderot, place Jules Janssen 5, 92190, Meudon, France

    Éric Gourgoulhon

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  1. Éric Gourgoulhon
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Gourgoulhon, É. (2012). Evolution Schemes. In: 3+1 Formalism in General Relativity. Lecture Notes in Physics, vol 846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24525-1_11

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