Degenerate stars and gravitational collapse in AdS/CFT

Degenerate stars and gravitational collapse in AdS/CFT,10.1007/JHEP01(2011)144,Journal of High Energy Physics,Xerxes Arsiwalla,Jan de Boer,Kyriakos Pa

Degenerate stars and gravitational collapse in AdS/CFT   (Citations: 6)
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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.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2011, no. 1, pp. 1-66, 2011
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    • ...Similar constructions were considered in [8, 9] for neutral and charged free fermion uids supported by a degeneracy pressure...
    • ...It would be interesting to see how the work of [8] may be extended for charged uids in order to further characterize the nature of the underlying quantum critical point...

    V. Giangreco M. Pulettiet al. Holographic metals at finite temperature

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