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 nexttonexttoleading order in the large {tau} expansion, as well as the dual stressenergy tensor on the boundary via holographic renormalization. At nexttonexttoleading order, it is necessary to perturb the Schwarzschild metric in order to maintain boost invariance. The perturbation has a powerlaw 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 timedependent asymptotic solutions of the Einstein equations in five dimensions.
 Authors:

 Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 379961200 (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 05562821
 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; MANYDIMENSIONAL CALCULATIONS; PERTURBATION THEORY; RENORMALIZATION; SCHWARZSCHILD METRIC; SPACETIME; 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 nexttonexttoleading order in the large {tau} expansion, as well as the dual stressenergy tensor on the boundary via holographic renormalization. At nexttonexttoleading order, it is necessary to perturb the Schwarzschild metric in order to maintain boost invariance. The perturbation has a powerlaw 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 timedependent 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 = {05562821},
number = 6,
volume = 79,
place = {United States},
year = {2009},
month = {3}
}