On the notions of energy tensors in tetrad-affine gravity
arXiv:1708.08109 · doi:10.1134/S0202289318020056
Abstract
We are concerned with the precise modalities by which mathematical constructions related to energy-tensors can be adapted to a tetrad-affine setting. We show that, for fairly general gauge field theories formulated in that setting, two notions of energy tensor--the canonical tensor and the stress-energy tensor--exactly coincide with no need for tweaking. Moreover we show how both notions of energy-tensor can be naturally extended to include the gravitational field itself, represented by a couple constituted by the tetrad and a spinor connection. Then we examine the on-shell divergences of these tensors in relation to the issue of local energy-conservation in the presence of torsion.
7 pages, accepted version to appear on Gravitation & Cosmology
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