Abstract
We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general gravity actions with an algebraic dependence on the Riemann tensor. As a detailed example, we consider five-dimensional Einstein-Maxwell theory with a mixed gauge-gravitational Chern-Simons term. In this theory, we construct the proposed entropy current on a charged black-brane background, and show that it has a non-negative divergence. Moreover, a complete correspondence between the charged black-brane horizon’s dynamics and the hydrodynamics of an anomalous four-dimensional field theory is established. Our proposed entropy current is then found to coincide with the entropy current of the anomalous field theory fluid.
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ArXiv ePrint: 1202.2469
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Chapman, S., Neiman, Y. & Oz, Y. Fluid/gravity correspondence, local Wald entropy current and gravitational anomaly. J. High Energ. Phys. 2012, 128 (2012). https://doi.org/10.1007/JHEP07(2012)128
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DOI: https://doi.org/10.1007/JHEP07(2012)128