Causal relativistic hydrodynamics of conformal Fermi-Dirac gases

E. CALZETTA; M. AGUILAR

Physical Review D

American Physical Society

Lugar: Ridge; Año: 2017 vol. 95 p. 1 - 21

2470-0010

In this paper we address the derivation of causal relativistic hydrodynamics, formulated withinthe framework of Divergence Type Theories (DTTs), from kinetic theory for spinless particles obeyingFermi-Dirac statistics. The approach leads to expressions for the particle current and energymomentum tensor that are formally divergent, but may be given meaning through a process of regularizationand renormalization. We demonstrate the procedure through an analysis of the stabilityof an homogeneous anisotropic configuration. In the DTT framework, as in kinetic theory, theseconfigurations are stable. By contrast, hydrodynamics as derived from the Grad approximationwould predict that highly anisotropic configurations are unstable.