Holographic dual of scattering and Blackhole formation

Abstract

In the context of the AdS/CFT correspondence we discuss the gravity dual of a heavy-ion-like collision in a variant of ${\cal N}=4$ SYM. We provide a gravity dual picture of entire process. We estimate the initial entropy and temperature as a function of the initial saturation momentum $Q_s$. We suggest that the cooling of the fireball is the dual of a brane receeding in the AdS black hole background. While the cooling of the edges of the fireball is luminal or $1/\tau$, that of the core is slower due to the strongly interacting character of the core plasma. Our analysis suggests that the core cooling of the fireball is $1/\sqrt{\tau}$ which is slower than Bjorken 3d cooling $1/\tau$. The fireball freezes when the dual black hole background is replaced by a confining background through the Hawking-Page transition.