  We construct the complementary short-range correlation relativistic
local-density-approximation functional to be used in relativistic
range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian
in the no-pair approximation. For this, we perform relativistic
random-phase-approximation calculations of the correlation energy of the
relativistic homogeneous electron gas with a modified electron-electron
interaction, we study the high-density behavior, and fit the results to a
parametrized expression. The obtained functional should eventually be useful
for electronic-structure calculations of strongly correlated systems containing
heavy elements.
