https://doi.org/10.1140/epjc/s10052-020-08634-z
Regular Article - Theoretical Physics
Cosmological hyperfluids, torsion and non-metricity
Department of Physics, Institute of Theoretical Physics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece
Received:
6
July
2020
Accepted:
31
October
2020
Published online:
10
November
2020
We develop a novel model for cosmological hyperfluids, that is fluids with intrinsic hypermomentum that induce spacetime torsion and non-metricity. Imposing the cosmological principle to metric-affine spaces, we present the most general covariant form of the hypermomentum tensor in an FLRW Universe along with its conservation laws and therefore construct a novel hyperfluid model for cosmological purposes. Extending the previous model of the unconstrained hyperfluid in a cosmological setting we establish the conservation laws for energy–momentum and hypermomentum and therefore provide the complete cosmological setup to study non-Riemannian effects in Cosmology. With the help of this we find the forms of torsion and non-metricity that were earlier reported in the literature and also obtain the most general form of the Friedmann equations with torsion and non-metricity. We also discuss some applications of our model, make contact with the known results in the literature and point to future directions.
© The Author(s) 2020
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