Three-dimensional gravity and instability of ${\text{AdS}}_3$

Abstract

This is an extended version of my lecture at the LIII Cracow School of Theoretical Physics in Zakopane in which I presented the results of joint work with Piotr Bizoń concerning (in)stability of the three-dimensional anti-de Sitter spacetime.

21 pages, 6 figures

References in corpus (4)

• Boson Stars in AdS
• Time-periodic solutions in Einstein AdS - massless scalar field system
• Globally regular instability of $Ad{S}_3$
• Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime

Cited by in corpus (10)

• Numerical Methods for Finding Stationary Gravitational Solutions
• Position space analysis of the AdS (in)stability problem
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• AdS nonlinear instability: moving beyond spherical symmetry
• Necessary conditions for an AdS-type instability
• Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime
• Coherent Cascade Conjecture for Collapsing Solutions in Global AdS
• AdS nonlinear instability: breaking spherical and axial symmetries
• Oscillating Shells in Anti-de Sitter Space
• New islands of stability with double-trace deformations