Fluids in Weyl Geometries

TL;DR

This paper explores how non-trivial Weyl geometries influence fluid conservation laws, deriving properties that connect energy-momentum conservation with particle number in this generalized geometric setting.

Contribution

It introduces a framework for understanding fluid conservation laws within Weyl geometries, extending standard relations to more general geometric contexts.

Findings

Derived properties linking energy-momentum and particle conservation in Weyl geometries

Established conditions under which standard conservation laws hold in non-trivial Weyl geometries

Generalized the relation between geometry and fluid dynamics

Abstract

We shall investigate the consequences of non-trivial Weyl geometries on conservation laws of a fluid. In particular we shall obtain a set of properties which allow to obtain in this generalized setting the standard relation between conservation of the energy-momentum tensor and number of particles.