  We introduce flat space spin-3 gravity in the presence of chemical potentials
and discuss some applications to flat space cosmology solutions, their entropy,
free energy and flat space orbifold singularity resolution. Our results include
flat space Einstein gravity with chemical potentials as special case. We
discover novel types of phase transitions between flat space cosmologies with
spin-3 hair and show that the branch that continuously connects to spin-2
gravity becomes thermodynamically unstable for sufficiently large temperature
or spin-3 chemical potential.
