On the collision of two shock waves in AdS5
Abstract
We consider two ultrarelativistic shock waves propagating and colliding in five-dimensional Anti-de-Sitter spacetime. By transforming to Rosen coordinates, we are able to find the form of the metric shortly after the collision. Using holographic renormalization, we calculate the energy-momentum tensor on the boundary of AdS space for early times after the collision. Via the gauge-gravity duality, this gives some insights on bulk dynamics of systems created by high energy scattering in strongly coupled gauge theories. We find that Bjorken boost-invariance is explicitely violated at early times and we obtain an estimate for the thermalization time in this simple system.
Cite
@article{arxiv.0803.3226,
title = {On the collision of two shock waves in AdS5},
author = {Daniel Grumiller and Paul Romatschke},
journal= {arXiv preprint arXiv:0803.3226},
year = {2014}
}
Comments
15 pages, 1 figure; v2: clarifications on boost-invariance and appendix added; v3: minor modifications, references added, matches published version