Black brane entropy and hydrodynamics: the boost-invariant case

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Booth, Ivan
Heller, Michal P.
Spalinski, Michal
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Abstract
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The framework of slowly evolving horizons is generalized to the case of black branes in asymptotically anti-de Sitter spaces in arbitrary dimensions. The results are used to analyze the behavior of both event and apparent horizons in the gravity dual to boost-invariant flow. These considerations are motivated by the fact that at second order in the gradient expansion the hydrodynamic entropy current in the dual Yang-Mills theory appears to contain an ambiguity. This ambiguity, in the case of boost-invariant flow, is linked with a similar freedom on the gravity side. This leads to a phenomenological definition of the entropy of black branes. Some insights on fluid/gravity duality and the definition of entropy in a time-dependent setting are elucidated.
Comment: RevTeX, 42 pages, 4 figures
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High Energy Physics - Theory, General Relativity and Quantum Cosmology
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