Gravity dual of 1+1 dimensional Bjorken expansion

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.106006· OSTI ID:21027916

Kajantie, K ^[1]; Louko, Jorma ^[2]; Tahkokallio, T ^[1]

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1. Department of Physics, P. O. Box 64, FIN-00014 University of Helsinki (Finland)
2. School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD (United Kingdom)

We study the application of AdS/CFT duality to longitudinal boost-invariant Bjorken expansion of QCD matter produced in ultrarelativistic heavy ion collisions. As the exact (1+4)-dimensional bulk solutions for the (1+3)-dimensional boundary theory are not known, we investigate in detail the (1+1)-dimensional boundary theory, where the bulk is AdS{sub 3} gravity. We find an exact bulk solution, show that this solution describes part of the spinless Banados-Teitelboim-Zanelli black hole with the angular dimension unwrapped, and use the thermodynamics of the Banados-Teitelboim-Zanelli hole to recover the time-dependent temperature and entropy density on the boundary. After separating from the holographic energy-momentum tensor a vacuum contribution, given by the extremal black hole limit in the bulk, we find that the boundary fluid is an ideal gas in local thermal equilibrium. Including angular momentum in the bulk gives a boundary flow that is boost invariant but has a nonzero longitudinal velocity with respect to the Bjorken expansion.

• OSTI ID: 21027916
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BLACK HOLES
CONFORMAL INVARIANCE
DENSITY
DUALITY
ENERGY-MOMENTUM TENSOR
ENTROPY
GRAVITATION
HEAVY ION REACTIONS
HOLOGRAPHY
MATHEMATICAL SOLUTIONS
QUANTUM CHROMODYNAMICS
RELATIVISTIC RANGE
THERMAL EQUILIBRIUM
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE