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Résumé |
We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy
current for higher-curvature gravitational theories.
As an example, we consider five-dimensional Einstein-Maxwell theory with a pure gauge and mixed
gauge-gravitational Chern-Simons term.
In this theory, we construct the entropy current on a charged black-brane background, and show that it
has a non-negative divergence.
Furthermore, we prove a complete correspondence between the charged black-brane horizon?s dynamics
and the hydrodynamics of an anomalous field theory fluid.
Our proposed entropy current is found to coincide with the entropy current of the fluid.
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