  We refer to the ground state of a gravitating, charged ideal fluid of
fermions held at a finite chemical potential as an `electron star'. In a
holographic setting, electron stars are candidate gravity duals for strongly
interacting finite fermion density systems. We show how electron stars develop
an emergent Lifshitz scaling at low energies. This IR scaling region is a
consequence of the two way interaction between emergent quantum critical
bosonic modes and the finite density of fermions. By integrating from the IR
region to an asymptotically AdS_4 spacetime, we compute basic properties of the
electron stars, including their electrical conductivity. We emphasize the
challenge of connecting UV and IR physics in strongly interacting finite
density systems.
