Comptes Rendus
no. 2
Differential Geometry
The Mass according to Arnowitt, Deser and Misner
[Le Masse selon Arnowitz, Deser et Misner]

Présenté par : Thierry Aubin

Thierry Aubin1
1 Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France
Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, pp. 87-91.

Pour une variété asymptotiquement euclidienne d'ordre τ>(n−2)/2, sous l'hypothèse que la masse m (selon Arnowitt, Deser et Misner) existe (notamment si la courbure scalaire est ⩾0 et intégrable), il existe un réel A>0 tel que m>4(n−1)A sur chaque bout (sauf si la métrique est euclidienne).

For asymptotically Euclidean manifolds of order τ>(n−2)/2, under the hypothesis that the mass m (according to Arnowitt, Deser and Misner) exists (in particular if the scalar curvature is ⩾0 and integrable), there exists a real number A>0 such that m⩾4(n−1)A on each end (except if the metric is Euclidean).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2007.06.004
Thierry Aubin 1

1 Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France 
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Thierry Aubin. The Mass according to Arnowitt, Deser and Misner. Comptes Rendus. Mathématique, Volume 345 (2007) no. 2, pp. 87-91. doi : 10.1016/j.crma.2007.06.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.06.004/

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