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Relating chronology protection and unitarity through holography

  • Joris Raeymaekers
  • Dieter Van den Bleeken
  • Bert Vercnocke
Article

Abstract

We give a simple nonsupersymmetric example in which chronology protection follows from unitarity and the AdS/CFT correspondence. We consider a ball of homogeneous, rotating dust in global AdS3 whose backreaction produces a region of Gödel space inside the ball. We solve the Israel matching conditions to find the geometry outside of the dust ball and compute its quantum numbers in the dual CFT. When the radius of the dust ball exceeds a certain critical value, the spacetime will contain closed timelike curves. Our main observation is that precisely when this critical radius is exceeded, a unitarity bound in the dual CFT is violated, leading to a holographic argument for chronology protection.

Keywords

AdS-CFT Correspondence Models of Quantum Gravity Classical Theories of Gravity 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Joris Raeymaekers
    • 1
  • Dieter Van den Bleeken
    • 2
  • Bert Vercnocke
    • 3
  1. 1.Institute of Physics of the ASCR, v.v.i.Prague 8Czech Republic
  2. 2.NHETC and Dept. of Physics and AstronomyRutgers UniversityPiscatawayU.S.A.
  3. 3.Instituut voor Theoretische Fysica, KU LeuvenLeuvenBelgium

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