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Causal, stable first-order viscous relativistic hydrodynamics with ideal gas microphysics

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arxiv 2209.09265 v2 pith:VMBOBQN6 submitted 2022-09-19 gr-qc astro-ph.HEnucl-th

Alex Pandya , Elias R. Most , Frans Pretorius This is my paper
classification gr-qcastro-ph.HEnucl-th
keywords bdnkhydrodynamicidealrelativisticcausalcausalityfirst-orderflow
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We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in the formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach provides definitions for the conserved stress-energy tensor and baryon current, and rigorously proves causality, local well-posedness, strong hyperbolicity, and linear stability (about equilibrium) for the equations of motion, subject to a set of coupled nonlinear inequalities involving the undetermined model coefficients (the choice for which defines the "hydrodynamic frame"). We present a class of hydrodynamic frames derived from the relativistic ideal gas "gamma-law" equation of state which satisfy the BDNK constraints, and explore the properties of the resulting model for a series of (0+1)D and (1+1)D tests in 4D Minkowski spacetime. These tests include a comparison of the dissipation mechanisms in Eckart, BDNK, and Muller-Israel-Stewart theories, as well as investigations of the impact of hydrodynamic frame on the causality and stability properties of Bjorken flow, planar shockwave, and heat flow solutions.

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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. Superradiant amplification by rotating viscous compact objects

    gr-qc 2025-06 conditional novelty 7.0 of 10

    Using causal BDNK hydrodynamics, the authors derive coupled gravitational-wave and viscous-mode equations for slowly rotating stars and find superradiant amplification at low frequencies.

  2. The initial data of effective field theories of relativistic viscous fluids and gravity

    gr-qc 2026-02 conditional novelty 5.0 of 10

    Initial data for the unphysical modes in well-posed EFTs should be fixed by order reduction, which suppresses fast modes without altering the equations of motion.

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