Degenerate Stars and Gravitational Collapse in AdS/CFT

Details Degenerate Stars and Gravitational Collapse in AdS/CFT Degenerate Stars and Gravitational Collapse in AdS/CFT

2010-10-27

arxiv.org/abs/1010.5784v1

JHEP 1101:144,2011

Physics

High Energy Physics

High Energy Physics - Theory

75 pages

Scientific paper

10.1007/JHEP01(2011)144

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.

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