A strongly hyperbolic viscous relativistic hydrodynamics theory with first-order charge current

arXiv:2602.20254 · gr-qc, astro-ph.HE, hep-th · Submitted 2026-02-23 · Read on arXiv

gr-qc, astro-ph.HE, hep-th

Submitted: 2026-02-23

Updated: 2026-09-02

Terminology

• Degeneracy — 12× in this paper · explained in 3 episodes
• Bulk Viscosity — 6× in this paper · explained in 2 episodes
• Initial Data — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Bemfica-Disconzi-Noronha- Kovtun — 1× in this paper
• Boltzmann Equation — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Equation of State (EoS) — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Regularization — 1× in this paper · explained in 3 episodes

Sources

• Hydrodynamic Modeling of Heavy-Ion Collisions
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Foundations of Black Hole Accretion Disk Theory
• Numerical modelling of bulk viscosity in neutron stars
• On the importance of viscous dissipation and heat conduction in binary neutron-star mergers
• Projecting the likely importance of weak-interaction-driven bulk viscosity in neutron star mergers
• General relativistic viscous hydrodynamics of differentially rotating neutron stars
• Impact of bulk viscosity on the post-merger gravitational-wave signal from merging neutron stars
• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• First-order relativistic hydrodynamics is stable
• Nonlinear causality of general first-order relativistic viscous hydrodynamics
• First-Order General-Relativistic Viscous Fluid Dynamics
• Lectures on hydrodynamic fluctuations in relativistic theories
• Stable and causal relativistic Navier-Stokes equations
• Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
• An Introduction to Well-posedness and Free-evolution
• A necessary condition for strong hyperbolicity of general first order systems
• A numerical exploration of first-order relativistic hydrodynamics
• Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics
• Field redefinitions and evolutions in relativistic Navier-Stokes

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