Gauge dependence of the AdS instability problem

Abstract

Previous work on the AdS instability problem within the two-time framework (TTF) has found an "oscillating singularity" whose presence depends on the gauge choice. We give a physical interpretation of this singularity as a diverging redshift between the boundary and the center of AdS. This signals a genuine breakdown of the linearized gravity. One can also identify the diverging redshift through a back-reaction calculation purely in the boundary gauge, where the TTF result stays regular.

12 pages; v2: references added and minor typos were fixed, v3: Resubmitted to match the journal version, minor typos were fixed

References in corpus (3)

• Renormalization group, secular term resummation and AdS (in)stability
• Renormalization, averaging, conservation laws and AdS (in)stability
• Conserved quantities and dual turbulent cascades in Anti-de Sitter spacetime

Cited by in corpus (1)

• Collapse and Nonlinear Instability of AdS with Angular Momenta