  We consider the effects of rotations on the calculation of some
thermodynamical quantities like the free energy, internal energy and entropy.
In ordinary gravity, when we evaluate the density of states of a scalar field
close to a black hole horizon, we obtain a divergent result which can be kept
under control with the help of some standard regularization and renormalization
processes. We show that when we use the Gravity's Rainbow approach such
regularization/renormalization processes can be avoided. A comparison between
the calculation done in an inertial frame and in a comoving frame is presented.
