Comptes Rendus
Mathematical Physics
Positive gravitational energy in arbitrary dimensions
Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 915-921.

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.

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).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2011.07.017

Yvonne Choquet-Bruhat 1

1 16, avenue dʼAlembert, 92160 Antony, France
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Yvonne Choquet-Bruhat. Positive gravitational energy in arbitrary dimensions. Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 915-921. doi : 10.1016/j.crma.2011.07.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.07.017/

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

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

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

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