  We study high-resolution hydrodynamic simulations of Milky Way type galaxies
obtained within the "Evolution and Assembly of GaLaxies and their Environments"
(EAGLE) project, and identify the those that best satisfy observational
constraints on the Milky Way total stellar mass, rotation curve, and galaxy
shape. Contrary to mock galaxies selected on the basis of their total virial
mass, the Milky Way analogues so identified consistently exhibit very similar
dark matter profiles inside the solar circle, therefore enabling more accurate
predictions for indirect dark matter searches. We find in particular that high
resolution simulated haloes satisfying observational constraints exhibit,
within the inner few kiloparsecs, dark matter profiles shallower than those
required to explain the so-called Fermi GeV excess via dark matter
annihilation.
