Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2016)031
Keywords
Black Holes; Black Holes in String Theory; Spacetime Singularities
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Funding
- European Research Council [ERC-2011-StG279363-HiDGR]
- STFC [ST/L000385/1, ST/L000636/1] Funding Source: UKRI
- Science and Technology Facilities Council [1628038, ST/L000385/1, ST/L000636/1] Funding Source: researchfish
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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 in finity. 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.
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