Singularities and closed time-like curves in type IIB 1/2 BPS geometries

Abstract

We study in detail the moduli space of solutions discovered in LLM relaxing the constraint that guarantees the absence of singularities. The solutions fall into three classes, non-singular, null-singular and time machines with a time-like naked singularity. We study the general features of these metrics and prove that there are actually just two generic classes of space-times - those with null singularities are in the same class as the non-singular metrics. AdS/CFT seems to provide a dual description only for the first of these two types of space-time in terms of a unitary CFT indicating the possible existence of a chronology protection mechanism for this class of geometries.

arXiv comment34 pages, 7 figures, LaTeX. References added

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• Giant gravitons: a collective coordinate approach
• Quantitative approaches to information recovery from black holes
• 1/8 BPS States in Ads/CFT
• Superposition induced topology changes in quantum gravity
• Black Hole Statistics from Holography
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Stretched Horizon and Entropy of Superstars
• On Classification Of The Bubbling Geometries
• Negative specific heat from non-planar interactions and small black holes in AdS/CFT
• Semi-classical Probe Strings on Giant Gravitons Backgrounds
• Bubbling AdS and Vacuum String Field Theory
• Unitary S Matrices With Long-Range Correlations and the Quantum Black Hole
• Half-BPS Geometries and Thermodynamics of Free Fermions
• Chronology Protection in AdS/CFT
• All 1/2 BPS solutions of IIB supergravity with SO(4) x SO(4) isometry
• BPS R-balls in N=4 SYM on R X S^3, Quantum Hall Analogy and AdS/CFT Holography
• Coarse-graining of bubbling geometries and the fuzzball conjecture