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arXiv · 1603.04856

Black Hole Collapse in the 1/c Expansion

Tarek Anous·Thomas Hartman·Antonin Rovai·Julian Sonner
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Abstract

We present a first-principles CFT calculation corresponding to the spherical collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we describe the equilibration process, from early times to thermalization, of a CFT following a sudden injection of energy at time t=0. By formulating a continuum version of Zamolodchikov's monodromy method to calculate conformal blocks at large central charge c, we give a framework to compute a general class of probe observables in the collapse state, incorporating the full backreaction of matter fields on the dual geometry. This is illustrated by calculating a scalar field two-point function at time-like separation and the time-dependent entanglement entropy of an interval, both showing thermalization at late times. The results are in perfect agreement with previous gravity calculations in the AdS$_3$-Vaidya geometry. Information loss appears in the CFT as an explicit violation of unitarity in the 1/c expansion, restored by nonperturbative corrections.

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Tarek Anous, Thomas Hartman, Antonin Rovai, Julian Sonner. 2017-03-27. Black Hole Collapse in the 1/c Expansion. https://doi.org/10.1007/jhep07(2016)123

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