Causality and stability analysis of relativistic spin hydrodynamics: insights from a nonvanishing spin density background
This paper analyzes the stability and causality of relativistic spin hydrodynamics with a nonvanishing spin-density background, demonstrating that while first-order theories exhibit acausal behavior at high wave-vectors, the minimal causal framework resolves this issue by revealing complex, direction-dependent stability conditions that prevent simultaneous satisfaction of stability and causality in certain regimes.