Gravitational collapse and thermalization in the hard wall model

Ben Craps,Joris Vanhoof,Elias Kiritsis,Anastasios Taliotis,Christopher Rosen,Hongbao Zhang

doi:10.1007/jhep02(2014)120

Abstract

We study a simple example of holographic thermalization in a confining field theory: the homogeneous injection of energy in the hard wall model. Working in an amplitude expansion, we find black brane formation for sufficiently fast energy injection and a scattering wave solution for sufficiently slow injection. We comment on our expectations for more sophisticated holographic QCD models.

Highlights

For a translationally invariant setup,3 it was shown that this always results in black brane formation at small amplitude
The starting point of our present paper is that a rich structure of black brane solutions can be found in confining holographic models with the dual field theory living in Minkowski spacetime
We have seen that to leading non-trivial order in the amplitude expansion, for short injection times a black brane is formed, whereas for longer injection times, the shell scatters back and forth between the boundary and the hard wall

Summary

Introduction

To leading nontrivial order in the amplitude ǫ the black brane horizon radius is given by rh ∼ ǫ2/d/δt To this order, the bulk geometry is given by the AdS-Vaidya metric, which has turned out to be a very useful model for holographic thermalization. The starting point of our present paper is that a rich structure of black brane solutions can be found in confining holographic models with the dual field theory living in Minkowski spacetime (as opposed to a cylinder as for global AdS). The location of the hard wall is proportional to the confinement scale Λ of the boundary theory: r0 ≃ Λ This model only has black branes with event horizon ǫ2/d δt larger than r0

Objectives

Results

Conclusion