On the role of dissipation in structure formation for dilute relativistic gases: the static background case

TL;DR

This paper investigates how heat conduction affects the stability of high-temperature relativistic gases, revealing corrections to the Jeans criterion due to dissipation and density gradients.

Contribution

It provides a novel correction to the Jeans stability criterion for relativistic fluids, incorporating heat conduction effects and density gradient-driven heat flux.

Findings

Derived explicit corrections to Jeans mass and wavenumber for relativistic gases.

Compared relativistic dissipative effects with non-relativistic and non-dissipative cases.

Analyzed the impact of heat conduction on density fluctuation growth modes.

Abstract

A correction to the Jeans stability criterion due to heat conduction is established for the case of high temperature gases. This effect is only relevant for relativistic fluids and includes an additional term due to a density gradient driven heat flux. The result is obtained by thoroughly analyzing the exponentially growing modes present in the dynamics of density fluctuations in the linearized relativistic Navier-Stokes regime. The corrections to the corresponding Jeans mass and wavenumber are explicitly obtained and are compared to the non-relativistic and non-dissipative values using the transport coefficients obtained in the BGK approximation.