Critical scalar field collapse in AdS_3: an analytic approach

Abstract

We present an analytical solution of a massless scalar field collapsing in a three dimensional space-time with a negative cosmological constant, i.e. asymptotically AdS_3. The Einstein and scalar field equations are formulated using double null Poincare coordinates. Trapping horizons form when a critical parameter is p > 1. There are indications that the horizon radius r_AH scales like r_AH ~ (p-1)^(1/4) and the black hole mass as M ~ r_AH^2 ~ (p-1)^(1/2), i.e. with a critical mass exponent of 1/2.

References in corpus (7)

• Viscosity, Black Holes, and Quantum Field Theory
• Large D gravity and low D strings
• Globally regular instability of $Ad{S}_3$
• On holographic thermalization and gravitational collapse of massless scalar fields
• On holographic thermalization and gravitational collapse of tachyonic scalar fields
• Scaling Phenomena in Gravity from QCD
• The 5-D Choptuik critical exponent and holography

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• New islands of stability with double-trace deformations
• Quasinormal modes of charged BTZ black holes
• Unveiling horizons in quantum critical collapse
• Critical spacetime crystals in continuous dimensions
• A scenario for critical scalar field collapse in $Ad{S}_3$
• Comment on `Critical scalar field collapse in AdS${}_3$: an analytical approach'