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Title: Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole

Abstract

We discuss the derivation of dissipative Bjorken hydrodynamics from a Schwarzschild black hole in asymptotically AdS spacetime of arbitrary dimension in the limit of large longitudinal proper time {tau}. Using an appropriate slicing near the boundary, we calculate the Schwarzschild metric to next-to-next-to-leading order in the large {tau} expansion, as well as the dual stress-energy tensor on the boundary via holographic renormalization. At next-to-next-to-leading order, it is necessary to perturb the Schwarzschild metric in order to maintain boost invariance. The perturbation has a power-law time dependence and leads to the same value of the ratio of viscosity to entropy density, 1/(4{pi}), as in the case of sinusoidal perturbations. Our results are in agreement with known time-dependent asymptotic solutions of the Einstein equations in five dimensions.

Authors:
;  [1]
  1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996-1200 (United States)
Publication Date:
OSTI Identifier:
21260209
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 79; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.79.066011; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; BLACK HOLES; DE SITTER GROUP; DENSITY; DISTURBANCES; EINSTEIN FIELD EQUATIONS; ENTROPY; EXPANSION; HOLOGRAPHY; HYDRODYNAMICS; MANY-DIMENSIONAL CALCULATIONS; PERTURBATION THEORY; RENORMALIZATION; SCHWARZSCHILD METRIC; SPACE-TIME; TIME DEPENDENCE; VISCOSITY

Citation Formats

Alsup, James, and Siopsis, George. Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.79.066011.
Alsup, James, & Siopsis, George. Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole. United States. https://doi.org/10.1103/PHYSREVD.79.066011
Alsup, James, and Siopsis, George. Sun . "Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole". United States. https://doi.org/10.1103/PHYSREVD.79.066011.
@article{osti_21260209,
title = {Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole},
author = {Alsup, James and Siopsis, George},
abstractNote = {We discuss the derivation of dissipative Bjorken hydrodynamics from a Schwarzschild black hole in asymptotically AdS spacetime of arbitrary dimension in the limit of large longitudinal proper time {tau}. Using an appropriate slicing near the boundary, we calculate the Schwarzschild metric to next-to-next-to-leading order in the large {tau} expansion, as well as the dual stress-energy tensor on the boundary via holographic renormalization. At next-to-next-to-leading order, it is necessary to perturb the Schwarzschild metric in order to maintain boost invariance. The perturbation has a power-law time dependence and leads to the same value of the ratio of viscosity to entropy density, 1/(4{pi}), as in the case of sinusoidal perturbations. Our results are in agreement with known time-dependent asymptotic solutions of the Einstein equations in five dimensions.},
doi = {10.1103/PHYSREVD.79.066011},
url = {https://www.osti.gov/biblio/21260209}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 79,
place = {United States},
year = {2009},
month = {3}
}