Black brane entropy and hydrodynamics: the boost-invariant case
Abstract
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.
Cite
@article{arxiv.0910.0748,
title = {Black brane entropy and hydrodynamics: the boost-invariant case},
author = {Ivan Booth and Michal P. Heller and Michal Spalinski},
journal= {arXiv preprint arXiv:0910.0748},
year = {2015}
}
Comments
RevTeX, 42 pages, 4 figures