no. 15-16
Mathematical Physics
Positive gravitational energy in arbitrary dimensions
[Énergie gravitationnelle positive en dimension quelconque]

Présenté par : Yvonne Choquet-Bruhat

Choquet-Bruhat, Yvonne1
1 16, avenue dʼAlembert, 92160 Antony, France
Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 915-921.

On démontre un théorème dʼénergie gravitationnelle positive en dimension quelconque utilisant seulement des spineurs liés au groupe Spin(n) sur une section dʼespace Riemannienne (Mn,g).

We present a streamlined, complete proof, valid in arbitrary space dimension n, and using only spinors on the oriented Riemannian space (Mn;g), of the positive energy theorem in General Relativity.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.07.017
Choquet-Bruhat, Yvonne 1

1 16, avenue dʼAlembert, 92160 Antony, France 
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Choquet-Bruhat, Yvonne. Positive gravitational energy in arbitrary dimensions. Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 915-921. doi : 10.1016/j.crma.2011.07.017. http://www.numdam.org/articles/10.1016/j.crma.2011.07.017/

[1] Choquet-Bruhat, Y. General Relativity and the Einstein Equations, Oxford University Press, 2009

[2] Choquet-Bruhat, Y.; Christodoulou, D. Elliptic systems in Hs,δ spaces on manifolds which are Euclidean at infinity, Acta Mathematica, Volume 146 (1981), pp. 129-150

[3] Lichnerowicz, A. Champs spinoriels et propagateurs en relativité générale, Bull. Soc. Math. France, Volume 92 (1964), pp. 11-100

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