Open AccessA holographic dual of hydrodynamics
Author(s) -
Shin Nakamura,
Sang-Jin Sin
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/09/020
Subject(s) - dissipative system , physics , dual (grammatical number) , singularity , horizon , holography , gauge (firearms) , shear viscosity , classical mechanics , shear (geology) , viscosity , theoretical physics , gravitational singularity , energy density , mathematical physics , geometry , quantum mechanics , geology , mathematics , philosophy , archaeology , astronomy , history , petrology , linguistics
We consider a gravity dual description of time dependent, stronglyinteracting large-Nc N=4 SYM. We regard the gauge theory system as a fluid withshear viscosity. Our fluid is expanding in one direction following theBjorken's picture that is relevant to RHIC experiments. We obtain the dualgeometry at the late time that is consistent with dissipative hydrodynamics. Weshow that the integration constants that cannot be determined by hydrodynamicsare given by looking at the horizon of the dual geometry. Relationship betweentime dependence of the energy density and bulk singularity is also discussed.Comment: 17 pages, no figure. v2: typos corrected, published version in JHE
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom