A Short Review of Time Dependent Solutions and Space-like Singularities in String Theory

Abstract

These lecture notes provide a short review of the status of time dependent backgrounds in String theory, and in particular those that contain space-like singularities. Despite considerable efforts, we do not have yet a full and compelling picture of such backgrounds. We review some of the various attempts to understand these singularities via generalizations of the BKL dynamics, using worldsheet methods and using non-perturbative tools such as the AdS/CFT correspondence and M(atrix) theory. These lecture notes are based on talks given at Cargese 06 and the dead-sea conference 06.

arXiv comment19 pages; based on Cargèse lectures of 2006; to appear in proceedings

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• A Critical Review of Classical Bouncing Cosmologies
• The New Ekpyrotic Ghost
• Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
• Cosmological perturbations in non-local higher-derivative gravity
• Backdraft: String Creation in an Old Schwarzschild Black Hole
• DLCQ and Plane Wave Matrix Big Bang Models
• Minimum length effects in black hole physics
• Holography of the BTZ Black Hole, Inside and Out
• String Cosmology - Large-Field Inflation in String Theory
• Bouncing and cyclic string gas cosmologies
• Low Tension Strings on a Cosmological Singularity
• Light-like Big Bang singularities in string and matrix theories
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• On the breakdown of the perturbative interaction picture in Big Crunch/Big Bang or the true reason why perturbative string amplitudes on temporal orbifolds diverge
• On fluctuations of closed string tachyon solitons
• On the Hagedorn behavior of the superstring propating in a cosmological time dependent background
• Time-dependent Backgrounds in String Theory and Dualities