Open Access3+1 formulation of non‐ideal hydrodynamics
Author(s) -
Peitz Jochen,
Appl Stefan
Publication year - 1998
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.1998.01259.x
Subject(s) - physics , dissipative system , dissipation , classical mechanics , causality (physics) , inertia , ideal (ethics) , metric (unit) , space (punctuation) , perfect fluid , thermodynamics , quantum mechanics , philosophy , operations management , linguistics , epistemology , economics
The equations governing dissipative relativistic hydrodynamics are formulated within the 3+1 approach for arbitrary space–times. Dissipation is accounted for by applying the theory of extended causal thermodynamics (Israel–Stewart theory). This description eliminates the causality violating infinite signal speeds present in the conventional Navier–Stokes equation. The set of equations is specified to the astrophysically relevant case of stationary axisymmetric vacuum space–times, including the Kerr metric. The equations are also given in a simplified form suitable for applications where inertia due to the dissipative contributions is negligible.