Linear causality and stability of third-order relativistic dissipative fluid dynamics

We analyze the linear causality and stability of third-order fluid dynamics considering perturbations around a global equilibrium state. investigate formulation derived from kinetic theory, using Chapman-Enskog expansion, in PRC 88, 021903, which was shown to be excellent agreement with solutions microscopic theory. From this analysis, we demonstrate that theory is linearly acausal unstable such instabilities cannot corrected by tuning transport coefficients. then propose modification valid only regime, can constructed causal stable obtain conditions coefficients must satisfy order for case.