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 the 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.
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Canarutto, D. On the Notions of Energy Tensors in Tetrad-Affine Gravity. Gravit. Cosmol. 24, 122–128 (2018). https://doi.org/10.1134/S0202289318020056
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DOI: https://doi.org/10.1134/S0202289318020056