Nonmetricity and hypermomentum: on the possible violation of Lorentz invariance
arXiv:2311.03160
Abstract
We outline how the symmetry groups of spacetime are interpreted in a gauge-theoretic approach. Specifically, we focus on the hypermomentum concept and discuss the hyperfluid, that appropriately generalizes the perfect (Euler) fluid of general relativity to the case of continuous media with microstructure. We demonstrate that a possible violation of Lorentz invariance is most adequately understood by means of non-vanishing nonmetricity of a metric-affine geometry of spacetime.
arXiv comment15 pages, no figures, Revtex; Contributed paper to appear in the volume "Tribute to Ruben Aldrovandi" (Editora Livraria da Fisica, Sao Paulo, 2024)