The Perfect Hyperfluid of Metric-Affine Gravity: the foundation
Damianos Iosifidis
Abstract
Abstract We set the foundation and formulate the Perfect (Ideal) Hyperfluid. The latter represents the natural generalization of the usual perfect fluid structure where now the microscopic characteristics of matter (spin, shear, dilation) are also taken into account, sourcing a non-Riemannian arena (i.e spacetime torsion and non-metricity) for Metric-Affine Gravity. We derive the energy tensors of this Hyperfluid structure and subsequently present the conservation laws obeyed by them. Finally, we consider a Cosmological application of this Perfect Hyperfluid and classify some possible forms of this fluid structure.
Topics & Concepts
Perfect fluidAffine transformationConservation lawSpacetimeMathematicsTheoretical physicsGeneralizationAffine connectionTorsion (gastropod)Classical mechanicsPure mathematicsPhysicsMathematical physicsMathematical analysisQuantum mechanicsMedicineSurgeryCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsAdvanced Differential Geometry Research