Conservation of Energy-Momentum in Teleparallel Gravity - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: In a well-known paper arXiv:gr-qc-0003100 V.C. de Andrade, L. C. T. Guillenand J.G. Pereira defined a conserved gauge current, however they stated that:`` This is, we believe the farthest one can go in the direction of a tensorialdefinition for the energy and momentum of the gravitational field. The lack oflocal Lorentz covariance can be considered as the teleparallel manifestation ofthe pseudotensor character of the gravitational energy-momentum density ingeneral relativity



-. Well, we believe that they stopped just less than aninch before giving such a tensorial definition, and furthermore that theresulting energy-momentum tensor has zero trace and can be made symmetric, andtogether with the energy-momentum tensor of material fields it obeys a naturalconservation equation for teleparallel manifolds. Some important consequencesare obtained specially in the last section concerning the possibility ofexplaining the acceleration of the universe expansion without any need of acosmological constant.



Author: Mariano Hermida de La Rica

Source: https://arxiv.org/







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