SÉMINAIRE DU GRECO
"Hyperbolic formulations of the Einstein equations for numerical simulations" |
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C. Gundlach |
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In general relativity, the same spacetime metric can be written in many coordinate systems. Just as in electromagnetism, this ""gauge freedom"" has two consequences: one needs to fix the gauge, and the initial data obey constraints. In consequence, there are many different ""formulations"" of general relativity: different PDE systems which describe the same physics. The catch is that many of these are not ""well-posed"" mathematically, which means that they are unsuitable for numerical simulations. I will review these ideas, and some formulations that are commonly used in numerical relativity. |
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lundi 2 novembre 2009 - 11:00 Salle des séminaires Évry Schatzman, Institut d'Astrophysique de Paris |
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