Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics

Understand

In the hydrodynamic regime of field theories the entropy is upgraded to a local entropy current.

• The entropy current is constructed phenomenologically order by order in the derivative expansion by requiring that its divergence is non-negative.
• In the framework of the fluid/gravity correspondence, the entropy current of the fluid is mapped to a vector density associated with the event horizon of the dual geometry.
• In this work we consider the local horizon entropy current for higher-curvature gravitational theories proposed in arXiv:1202.2469, whose flux for stationary solutions is the Wald entropy.