Résumé / Abstract Seminaire_GReCO
SÉMINAIRE DU GRECO

"Bondi-Sachs Formulation of General Relativity and the vertices of the null cones"

Thomas Mädler
Lab. Univers et Théories (LUTH), Obs. Paris-Meudon-Nancay (Meudon, France)

The rigorous understanding of non-linear nature of gravitational waves in General Relativity was given down by Bondi, Sachs and collaborators, who foliated the space-time continuum by out-going light cones (emanating form a matter source with compact support) that are the characteristic surfaces of waves traveling in empty space. I review this formulation with the prospect of using it for numerical simulations in the context of stellar core-collapse supernovae, in which the entire space-time, i.e. including the vertex of the outgoing light cones and future null infinity, should be simulated. For simplicity I concentrate the presentation to discussing axially symmetric vacuum spaces that are also sufficient to address the most subtle issue in such simulations which turn out to be the conditions of the fields at the vertices of the light cones.

lundi 10 septembre 2012 - 11:00
Salle des séminaires François Arago,
Institut d'Astrophysique de Paris

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