Shock Wave Collisions in AdS_{5}:. Approximate Numerical Solutions
Abstract
We numerically study the evolution of a boostinvariant {N} = 4 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 heavyion collisions at RHIC and the LHC.
 Publication:

International Journal of Modern Physics C
 Pub Date:
 2011
 DOI:
 10.1142/S0129183111016920
 arXiv:
 arXiv:1108.3715
 Bibcode:
 2011IJMPC..22.1317W
 Keywords:

 Collision;
 gravitational;
 shock wave;
 numerical solution;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 29 pages, 9 figures