Abstract
We study holographically the out of equilibrium dynamics of a finite size closed quantum system in 2+1 dimensions, modelled by the collapse of a shell of a massless scalar field in AdS4. In global coordinates there exists a variety of evolutions towards final black hole formation which we relate with different patterns of relaxation in the dual field theory. For large scalar initial data rapid thermalization is achieved as a priori expected. Interesting phenomena appear for small enough amplitudes. Such shells do not generate a black hole by direct collapse, but quite generically an apparent horizon emerges after enough bounces off the AdS boundary. We relate this bulk evolution with relaxation processes at strong coupling which delay in reaching an ergodic stage. Besides the dynamics of bulk fields, we monitor the entanglement entropy, finding that it oscillates quasi-periodically before final equilibration. The radial position of the traveling shell is brought into correspondence with the evolution of the entanglement pattern in the dual field theory. The entanglement entropy is not only able to portrait the streaming of entangled excitations, but it is also a useful probe of interaction effects.
Highlights
Into trying to derive a statistical description for these quasi-stationary states by means of a generalised Gibbs ensemble [7,8,9,10,11]
Black holes formed in the collapse of a spherical shell of a massless real scalar field are of Schwarzschild type and can have either positive or negative specific heat
The time for horizon formation, to be related with the dephasing time in the dual field theory, must be influenced by this value. This is what we find in figure 9b, where we plot the evolution of three different pulses whose initial distributions can be seen in the inset
Summary
We consider Einstein gravity with negative cosmological constant coupled to a real massless scalar field in four dimensions, S=. We set 8πG4 = 2 as well as l = 1. This system has been examined recently for the numerical study of gravitational collapse in asymptotically global AdS spaces, and we summarize some of the known results. Our emphasis is set in pushing the simulation beyond the apparent horizon formation. With the aim at motivating our interpretation in the dual theory, we pursue the evolution as far as the numerical code permits us to approach the final stationary black hole
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
