Jeans instability analysis in the presence of heat in Eckart's frame

TL;DR

This paper analyzes how heat-acceleration coupling in Eckart's frame significantly influences Jeans instability, suggesting that relativistic heat effects are crucial in gravitational fluctuation growth in fluids.

Contribution

It demonstrates that heat-acceleration coupling in Eckart's frame greatly impacts density fluctuations, highlighting the need to consider relativistic heat effects in fluid stability analyses.

Findings

Heat-acceleration coupling amplifies density fluctuations.

Gravitational effects are negligible with heat-acceleration coupling.

Relativistic heat effects are essential in fluid stability models.

Abstract

It is shown that the coupling of heat with acceleration first proposed by Eckart would have an overwhelming effect in the growth of density mass fluctuations, even in non-relativistic fluids in the presence of a gravitational field. Gravitational effects would be negligible if the heat-acceleration relation is assumed to be valid for the hydrodynamic equations. A direct implication of this result is that recent alternative first order in the gradients theories must be taken into account while describing a special relativistic fluid.