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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.4 P.665-668


Conservation laws for energy and momentum in curved spaces


Affiliation(s):  Section of Postgraduate Studies and Research, Superior School of Mechanical and Electrical Engineering, National Polytechnic Institute, CP 07738, Mexico; more

Corresponding email(s):   jlopezb@ipn.mx

Key Words:  Noether theorem, Lagrangians in curved spaces, Energy and momentum in Riemannian spaces, Rund-Lovelock identities

LÓPEZ-BONILLA J., MORALES J., OVANDO G.. Conservation laws for energy and momentum in curved spaces[J]. Journal of Zhejiang University Science A, 2007, 8(4): 665-668.

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In arbitrary Riemannian 4-spaces, continuity equations are constructed which could be interpreted as conservation laws for the energy and momentum of the gravitational field. Special attention is given to general relativity to obtain, of natural manner, the pseudotensors of Einstein, Landau-Lifshitz, Möller, Goldberg and Stachel, and also the conservation equations of Komar, Trautman, DuPlessis and Moss.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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