Positive gravitational energy in arbitrary dimensions

Yvonne Choquet-Bruhat

doi:10.1016/j.crma.2011.07.017

Mathematical Physics

Positive gravitational energy in arbitrary dimensions

Presented by: Yvonne Choquet-Bruhat

Yvonne Choquet-Bruhat ¹

¹ 16, avenue dʼAlembert, 92160 Antony, France

Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 915-921

Abstract (Original language)
Résumé

We present a streamlined, complete proof, valid in arbitrary space dimension n, and using only spinors on the oriented Riemannian space $(M^{n}; g)$ , 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 $S p i n (n)$ sur une section dʼespace Riemannienne $(M^{n}, g)$ .

Received: 2011-06-19
Accepted: 2011-07-19
Published online: 2011-08-01

DOI: 10.1016/j.crma.2011.07.017

Author's affiliations:

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

References
Cited by

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

[2] Y. Choquet-Bruhat; D. Christodoulou Elliptic systems in $H_{s, δ}$ 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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