Relating chronology protection and unitarity through holography

0358465 - FZÚ 2012 RIV US eng J - Journal Article
Raeymaekers, Joris - Van den Bleeken, D. - Vercnocke, B.
Relating chronology protection and unitarity through holography.
Journal of High Energy Physics. Roč. 2010, č. 4 (2010), s. 1-9. ISSN 1126-6708
Grant - others:EUROHORC(XE) EYI/07/E010
Institutional research plan: CEZ:AV0Z10100502
Keywords : AdS-CFT correspondence * models of quantum gravity * classical theories of gravity
Subject RIV: BF - Elementary Particles and High Energy Physics
Impact factor: 6.049, year: 2010
http://www.springerlink.com/content/g5q123uj51218371/

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 Goedel 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.
Permanent Link: http://hdl.handle.net/11104/0196501