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SHOCK WAVE COLLISIONS IN AdS5: APPROXIMATE NUMERICAL SOLUTIONS

2011/08/18 by Bin Wu, BIN WU, Paul Romatschke +1 · 3 citations
Physics and Astronomy · #Apparent horizon #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Collision #Energy (signal processing) #High-Energy Particle Collisions Research #Horizon #Matching (statistics) #Scale (ratio) #Shock (circulatory) #Shock wave #Time evolution #gr-qc #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1142/s0129183111016920

published as Int. J. of Mod. Phys. C, vol. 22, no. 12(2011), pp. 1317-1342 · 29 pages, 9 figures

arxiv created 2011/08/18 · openalex publication_date 2011/10/24 · arxiv updated 2012/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We numerically study the evolution of a boost-invariant [Formula: see text] SYM medium using AdS/CFT . We consider a toy model for the collision of gravitational shock waves, finding that the energy density first increases, reaches a maximum and then starts to decrease, matching hydrodynamics for late times. For the initial conditions we consider, the hydrodynamic scale governing the late time behavior is to very good approximation determined by the area of the black hole horizon at initial times. Our results provide a toy model for the early time evolution of the bulk system in heavy-ion collisions at RHIC and the LHC.

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