Toward the AdS/CFT Gravity Dual for High Energy Collisions: II. The Stress Tensor on the Boundary

TL;DR

This paper calculates the boundary stress tensor in an AdS/CFT model of high-energy collisions, revealing how different bulk objects influence the boundary matter's non-equilibrium dynamics and energy distribution.

Contribution

It provides an analytical computation of the boundary stress tensor for open strings in AdS, illustrating their role in modeling non-equilibrium matter in high-energy collisions.

Findings

Massive objects produce zero boundary stress tensor.

Open strings generate a nonzero stress tensor indicating exploding matter.

Analysis of energy density and freezeout surfaces in the boundary matter.

Abstract

In this second paper of the series we calculate the stress tensor of excited matter, created by ``debris'' of high energy collisions at the boundary. We found that massive objects (``stones'') falling into the AdS center produce gravitational disturbance which however has $zero$ stress tensor at the boundary. The falling open strings, connected to receeding charges, do produce a nonzero stress tensor which we found analytically from time-dependent linearized Einstein equations in the bulk. It corresponds to exploding non-equilibrium matter: we discuss its behavior in some detail, including its internal energy density in a comoving frame and the ``freezeout surfaces''. We then discuss what happens for the ensemble of strings.