  We consider z=4 Horava-Lifshitz gravity in both 3+1 and 4+1 dimensions. We
find black hole solutions in the IR region for a kind of z=4 Horava-Lifshitz
gravity which is inherited from the new massive gravity in three dimensions and
an analog of the new massive gravity in four dimensions through the quantum
inheritance principle. We analyze thermodynamic properties for the black hole
solutions for z=4 Horava-Lifshitz gravity. We also write out the Friedmann
equation in 3+1 dimensions for cosmological solutions.
