A Hamiltonian formulation of relativistic fluid dynamics in curved spacetime in coordinate time is proposed and applied to Schwarzschild radial flows, but the derived equations and stability conclusion are not fully supported.
The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid,
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Relativistic Fluid Dynamics in Curved Spacetime: a Novel Effective Hamiltonian Approach
A Hamiltonian formulation of relativistic fluid dynamics in curved spacetime in coordinate time is proposed and applied to Schwarzschild radial flows, but the derived equations and stability conclusion are not fully supported.