For non-viscous fluids in normal flow on static or stationary spacetimes, the redshifted heat current is conserved and the redshifted temperature obeys a curved-space Laplace-type heat equation.
(10) for the stationary background (37), simplifies to Eq
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General relativistic heat flow from first order hydrodynamics
For non-viscous fluids in normal flow on static or stationary spacetimes, the redshifted heat current is conserved and the redshifted temperature obeys a curved-space Laplace-type heat equation.