Mariano Hermida de La Rica

arXiv2014

Teleparallel Darkness

First a review of Teleparallel theory is done with special emphasis in the derivation of conservation equations within this theory and in particular of energy-momentum conservation. Given that we are allowed to speak about the existence of negative energy, the question is that in its interaction with matter, we need not have matter conservation: It is only the sum of both which should remain constant. This does not only leads to an accelerated expansion without the need of a cosmological constant, but it may also contribute to explain the origin of dark matter, and poses questions about the origin of inflation at earlier times. The prediction of the proposed model can be qualitatively compared to recent results of Cosmic Microwave Background (CMB) analysis.

gr-qc↗

arXiv2009

Conservation of Energy-Momentum in Teleparallel Gravity

In a well-known paper arXiv:gr-qc/0003100 V.C. de Andrade, L. C. T. Guillen and 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 tensorial definition for the energy and momentum of the gravitational field. The lack of local Lorentz covariance can be considered as the teleparallel manifestation of the pseudotensor character of the gravitational energy-momentum density in general relativity....''. Well, we believe that they stopped just less than an inch before giving such a tensorial definition, and furthermore that the resulting energy-momentum tensor has zero trace and can be made symmetric, and together with the energy-momentum tensor of material fields it obeys a natural conservation equation for teleparallel manifolds. Some important consequences are obtained specially in the last section concerning the possibility of explaining the acceleration of the universe expansion without any need of a cosmological constant.

gr-qc↗