Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics

Abstract

We derive necessary and sufficient conditions under which a large class of relativistic generalizations of Braginskii's magnetohydrodynamics with shear, bulk, and heat diffusion effects is causal and strongly hyperbolic in the fully nonlinear regime in curved spacetime. We find that causality severely constrains the size of nonideal effects and the onset of kinetic instabilities. Our results are crucial for assessing the regime of validity of fluid dynamical simulations of plasmas near supermassive black holes.

16 pages, 1 figure, includes Supplemental Material. Accepted for publication in Physical Review Letters

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Cited by in corpus (5)

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• First-Order Viscous Relativistic Hydrodynamics on the Two-Sphere
• Resistive relativistic magnetohydrodynamics without Amperes Law
• Nonlinear analysis of causality for heat flow in heavy-ion collisions: constraints from equation of state
• Nonlinear causality of Israel-Stewart theory with diffusion