Fermionic Halos at Finite Temperature in AdS/CFT
  We explore the gravitational backreaction of a system consisting in a very
large number of elementary fermions at finite temperature, in asymptotically
AdS space. We work in the hydrodynamic approximation, and solve the
Tolman-Oppenheimer-Volkoff equations with a perfect fluid whose equation of
state takes into account both the relativistic effects of the fermionic
constituents, as well as its finite temperature effects. We find a novel 'dense
core-diluted halo' structure for the density profiles in the AdS bulk,
similarly as recently reported in flat space, for the case of astrophysical
dark matter halos in galaxies. We further study the critical equilibrium
configurations above which the core undergoes gravitational collapse towards a
massive black hole, and calculate the corresponding critical central
temperatures, for two qualitatively different central regimes of the fermions:
the diluted-Fermi case, and the degenerate case. As a probe for the dual CFT,
we construct the holographic two-point correlator of a scalar operator with
large conformal dimension in the worldline limit, and briefly discuss on the
boundary CFT effects at the critical points.
