Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime

Abstract

In these lecture notes we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial perturbations. We uncover the technical details used in the numerical study of spherically symmetric Einstein-massless scalar field system with negative cosmological constant that led to the conjectured instability.

Lecture notes from the NRHEP spring school held at IST-Lisbon, March 2013. To be published by IJMPA (V. Cardoso, L. Gualtieri, C. Herdeiro and U. Sperhake, Eds., 2013); v2: sec. 6 and acknowledgments added, matches published version

References in corpus (3)

• Time-periodic solutions in Einstein AdS - massless scalar field system
• Instability of Flat Space Enclosed in a Cavity
• Globally regular instability of $Ad{S}_3$

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