Instability of supersymmetric microstate geometries

Abstract

We investigate the classical stability of supersymmetric, asymptotically flat, microstate geometries with five non-compact dimensions. Such geometries admit an "evanescent ergosurface": a timelike hypersurface of infinite redshift. On such a surface, there are null geodesics with zero energy relative to infinity. These geodesics are stably trapped in the potential well near the ergosurface. We present a heuristic argument indicating that this feature is likely to lead to a nonlinear instability of these solutions. We argue that the precursor of such an instability can be seen in the behaviour of linear perturbations: nonlinear stability would require that all linear perturbations decay sufficiently rapidly but the stable trapping implies that some linear perturbation decay very slowly. We study this in detail for the most symmetric microstate geometries. By constructing quasinormal modes of these geometries we show that generic linear perturbations decay slower than any inverse power of time.

40 pages. v2: references added

References in corpus (2)

• D1-D5-P microstates at the cap
• A supersymmetric black lens

Cited by in corpus (21)

• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• Black-hole microstate spectroscopy: ringdown, quasinormal modes, and echoes
• Fuzzball Shadows: Emergent Horizons from Microstructure
• Fuzzballs and Observations
• Early Scrambling and Capped BTZ Geometries
• Imaging Topological Solitons: the Microstructure Behind the Shadow
• Cavity effect in the quasinormal mode spectrum of topological stars
• On the BPS sector in AdS_3/CFT_2 Holography
• Synthetic Fuzzballs: A Linear Ramp from Black Hole Normal Modes
• Quasinormal modes of supersymmetric microstate geometries from the D1-D5 CFT
• Resolving Black-Hole Microstructure with New Momentum Carriers
• Shockwaves in black hole microstate geometries
• Soliton mechanics
• Stable bound orbits in black lens backgrounds
• Supersymmetric asymptotically locally AdS${}_5$ gravitational solitons
• More on the SW-QNM correspondence
• Stable bound orbits around static Einstein-Gauss-Bonnet black holes
• Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
• Lower bound for angular momenta of microstate geometries in five dimensions
• Stable bound orbits in microstate geometries
• Q-Balls Meet Fuzzballs: Non-BPS Microstate Geometries