Through the Looking Glass: AdS-FT with time dependent boundary conditions and black hole formation

TL;DR

This paper investigates how scalar fields behave in Lorentzian Anti-de Sitter space with time-dependent boundary conditions, revealing connections to gauge theories with dynamic couplings and the formation of black holes or singularities.

Contribution

It provides an analysis of scalar dynamics in AdS with time-dependent boundaries, linking boundary conditions to bulk phenomena like black hole formation and singularities.

Findings

Finite states including black holes arise with nonzero time-dependent couplings.

Zero coupling limit appears to lead to a bulk cosmological singularity.

The work connects boundary gauge theory dynamics to bulk gravitational phenomena.

Abstract

I solve for the behavior of scalars in Lorentzian AdS with time dependent boundary conditions, focusing in particular on the dilaton. This corresponds, via the AdS-CFT correspondence, to considering a gauge theory with a time dependent coupling. Changes which keep the gauge coupling nonzero result in finite but physically interesting states in the bulk, including black holes, while sending the gauge coupling to zero appears to produce a cosmological singularity in the bulk.