Dissipative fluids out of hydrostatic equilibrium

TL;DR

This paper investigates how thermal conduction and viscosity influence the behavior of relativistic dissipative fluids immediately after they leave hydrostatic equilibrium, focusing on stability, causality, and effective inertial mass conditions.

Contribution

It provides a detailed analysis of the effects of dissipative processes on relativistic fluids near equilibrium, highlighting conditions for stability and causality in this context.

Findings

Identification of conditions where effective inertial mass vanishes.

Analysis of stability and causality constraints in relativistic dissipative fluids.

Insights into the early-time behavior of fluids departing from hydrostatic equilibrium.

Abstract

In the context of the M\"{u}ller-Israel-Stewart second order phenomenological theory for dissipative fluids, we analyze the effects of thermal conduction and viscosity in a relativistic fluid, just after its departure from hydrostatic equilibrium, on a time scale of the order of relaxation times. Stability and causality conditions are contrasted with conditions for which the ''effective inertial mass'' vanishes.