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#### Local Entropy Current in Higher Curvature Gravity and Rindler Hydrodynamics

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1205.4249

(Preprint), 245KB

JHEP2012_08_088.pdf

(Any fulltext), 380KB

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##### Citation

Eling, C., Meyer, A., & Oz, Y. (2012). Local Entropy Current in Higher Curvature
Gravity and Rindler Hydrodynamics.* Journal of high energy physics: JHEP,* *2012*(08):
088. Retrieved from http://arxiv.org/abs/1205.4249.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-A061-C

##### Abstract

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. In
non-stationary cases this definition contains ambiguities, associated with
absence of a preferred timelike Killing vector. We argue that these ambiguities
can be eliminated in general by choosing the vector that generates the subset
of diffeomorphisms preserving a natural gauge condition on the bulk metric. We
study a dynamical, perturbed Rindler horizon in Einstein-Gauss-Bonnet gravity
setting and compute the bulk dual solution to second order in fluid gradients.
We show that the corresponding unambiguous entropy current at second order has
a manifestly non-negative divergence.