Constraints on Rindler Hydrodynamics

Abstract

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.

References in corpus (4)

• Towards hydrodynamics without an entropy current
• Relativistic Hydrodynamics with General Anomalous Charges
• Local Fluid Dynamical Entropy from Gravity
• Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics

Cited by in corpus (7)

• Entropy Current from Partition Function: One Example
• Entropy current and equilibrium partition function in fluid dynamics
• Towards a general fluid/gravity correspondence
• Petrov type I Spacetime and Dual Relativistic Fluids
• Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
• Superfluid Kubo Formulas from Partition Function
• Rindler Fluid with Weak Momentum Relaxation