  We study uncharged Rindler hydrodynamics at second order in the derivative
expansion. The equation of state of the theory is given by a vanishing
equilibrium energy density. We derive relations among the transport
coefficients by employing two frameworks. First, by the requirement of having
an entropy current with a non-negative divergence, second by studying the
thermal partition function on stationary backgrounds. The relations derived by
these two methods are equivalent. We verify the results by studying explicit
examples in flat and curved space-time geometries.
