Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-03-04
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 9 figures, 1 table; see also the companion article arXiv:1103.3452; v2: typos fixed
Scientific paper
This article studies a numerical relativity approach to the initial value problem in Anti-de Sitter spacetime relevant for dual non-equilibrium evolution of strongly coupled non-Abelian plasma undergoing Bjorken expansion. In order to use initial conditions for the metric obtained in arXiv:0906.4423 we introduce new, ADM formalism-based scheme for numerical integration of Einstein's equations with negative cosmological constant. The key novel element of this approach is the choice of lapse function vanishing at fixed radial position, enabling, if needed, efficient horizon excision. Various physical aspects of the gauge theory thermalization process in this setup have been outlined in our companion article arXiv:1103.3452. In this work we focus on the gravitational side of the problem and present full technical details of our setup. We discuss in particular the ADM formalism, the explicit form of initial states, the boundary conditions for the metric on the inner and outer edges of the simulation domain, the relation between boundary and bulk notions of time, the procedure to extract the gauge theory energy-momentum tensor and non-equilibrium apparent horizon entropy, as well as the choice of point for freezing the lapse. Finally, we comment on various features of the initial profiles we consider.
Heller Michal P.
Janik Romuald A.
Witaszczyk Przemyslaw
No associations
LandOfFree
A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A numerical relativity approach to the initial value problem in asymptotically Anti-de Sitter spacetime for plasma thermalization - an ADM formulation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-332376