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Causality Bounds on Dissipative General-Relativistic Magnetohydrodynamics

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arxiv 2312.09970 v2 pith:2JM3NDDM submitted 2023-12-15 astro-ph.HE gr-qcnucl-thphysics.plasm-ph

Ian Cordeiro , Enrico Speranza , Kevin Ingles , Fábio S. Bemfica , Jorge Noronha This is my paper · ORCID
classification astro-ph.HEgr-qcnucl-thphysics.plasm-ph
keywords causalityeffectsmagnetohydrodynamicsregimeassessingblackboundsbraginskii
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics

    nucl-th 2026-07 accept novelty 8.0 of 10

    Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation...

  2. Causality and stability of magnetohydrodynamics for an ultrarelativistic locally neutral two-component gas

    nucl-th 2025-05 conditional novelty 6.0 of 10

    Linear stability and causality of the second-order magnetohydrodynamics from Ref. [64] are verified for any magnetic field in a locally neutral two-component massless plasma.

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