Imperfect Fluids with Intrinsic Hypermomentum

Abstract: We develop the Action Formulation of Relativistic Hyperfluids, namely fluids with intrinsic hypermomentum that describes the microproperties of matter (spin, dilation and shear). By extending the Perfect Fluid formulation we supplement the fluid action with matter-connection couplings that reproduce the desired hypermomentum tensor of the recently developed Perfect Hyperfluid. More specifically, by considering the cases of pure spin, dilation and shear hyperfluids separately, we find the kinematics of each individual piece. A rather remarkable result is that for the pure spin and shear cases, the corresponding energy-momentum tensor does not have the usual Perfect Fluid form but rather that of an imperfect one whose heat flux, stresses and bulk viscosity are given in terms of the hypermomentum variables. This ultimately indicates that the so-called constitutive relations for viscous fluids may naturally follow by the inclusion of the micro-properties of matter (hypermomentum).

astrophysicscondensed mattergeneral relativity and quantum cosmologyhigh energy physicsmathematical physicsclassical physicsgeneral physics

Audience: researchers in the topic

Theoretical physics seminar @ Tartu