| Computational Mathematics & Applied Physics |
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| Conservation laws for energy and momentum in curved spaces |
| LÓPEZ-BONILLA J., MORALES J., OVANDO G. |
| Section of Postgraduate Studies and Research, Superior School of Mechanical and Electrical Engineering, National Polytechnic Institute, CP 07738, Mexico; Division of Basic Sciences and Engineering, Autonomous Metropolitan University, CP 02200, Mexico |
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Abstract 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.
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Received: 07 December 2006
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