Journal of High Energy Physics

, 2011:144 | Cite as

Degenerate stars and gravitational collapse in AdS/CFT

  • Xerxes Arsiwalla
  • Jan de Boer
  • Kyriakos Papadodimas
  • Erik Verlinde
Open Access
Article

Abstract

We construct composite CFT operators from a large number of fermionic primary fields corresponding to states that are holographically dual to a zero temperature Fermi gas in AdS space. We identify a large N regime in which the fermions behave as free particles. In the hydrodynamic limit the Fermi gas forms a degenerate star with a radius determined by the Fermi level, and a mass and angular momentum that exactly matches the boundary calculations. Next we consider an interacting regime, and calculate the effect of the gravitational back-reaction on the radius and the mass of the star using the Tolman-Oppenheimer-Volkoff equations. Ignoring other interactions, we determine the ”Chandrasekhar limit” beyond which the degenerate star (presumably) undergoes gravitational collapse towards a black hole. This is interpreted on the boundary as a high density phase transition from a cold baryonic phase to a hot deconfined phase.

Keywords

AdS-CFT Correspondence Holography and quark-gluon plasmas Holography and condensed matter physics (AdS/CMT) 

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Copyright information

© The Author(s) 2011

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Xerxes Arsiwalla
    • 1
  • Jan de Boer
    • 1
    • 2
  • Kyriakos Papadodimas
    • 3
  • Erik Verlinde
    • 1
    • 2
  1. 1.Institute for Theoretical Physics University of AmsterdamAmsterdamThe Netherlands
  2. 2.Gravitation and Astro-Particle Physics AmsterdamAmsterdamThe Netherlands
  3. 3.Theory Group, Physics DepartmentCERNGeneva 23Switzerland

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