  In this work, we have exclusively employed the linear stability analysis at
ultra-high boost on two well-known stable-causal theories - second-order MIS
and first-order BDNK, to identify the region of parameter space over which they
are frame-invariantly stable and obey causal signal propagation. It has been
shown that at near-luminal boost, stability criteria alone can provide the
causality constraints on transport coefficients, which are identical to the
asymptotic causality conditions, without actually going to the asymptotic limit
of the theories. Thus, we present an alternative approach to derive the
causality constraints, which is more appropriate for low-energy effective
theories like relativistic hydrodynamics.

High Energy Physics - Theory;High Energy Physics - Phenomenology;Nuclear Theory