Gauge invariant fluid lagrangian and its application to cosmology

A lagrangian for relativistic fluid systems with matters inside is developed using gauge principle. In the model, the gauge boson represents the fluid field in a form Aμ ≡ ǫμ φ, where ǫμ contains the fluid kinematics and φ is an auxiliary field representing the fluid distribution. This leads to a new relativistic equation of motion for fluid, but which further coincides to the classical Euler equation at non-relativistic limit. The lagrangian is applied to model homogeneous universe as a bulk pure fluid system. Taking the simplest case of fluid with radial velocity and uniform distribution, the free energy density is calculated and its behaviour around Hubble distance is discussed. Keyword(s) : astrophysical fluid dynamics, gauge theory, lagrangian PACS : 98.90.+s; 98.80.Cq; 11.10.Ef; 11.15.-q Email : [email protected], [email protected] Email : [email protected] Email : [email protected], [email protected] http://teori.fisika.lipi.go.id http://tisda.bppt.go.id http://www.fi.itb.ac.id http://www.fisika.ui.ac.id