  In the present work, we study the birth of a homogeneous and isotropic
Friedmann Lemaitre Robertson Walker (FLRW) cosmological model, considering
Horava Lifshitz (HL) as the gravitational theory. The matter content of the
model is a radiation perfect fluid. In order to study the birth of the universe
in the present model, we consider the quantum cosmology mechanism of creation
from nothing. In that mechanism, the universe appears after the wavefunction
associated to that universe tunnels through a potential barrier. We started
studying the classical model. We draw the phase portrait of the model and
identify qualitatively all types of dynamical behaviors associated to it. Then,
we write the Hamiltonian of the model and apply the Dirac quantization
procedure to quantize a constrained theory. We find the appropriate
Wheeler-DeWitt equation and solve it using the Wentzel Kramers Brillouin (WKB)
approximation. Using the WKB solution, to the Wheeler DeWitt equation, we
compute the tunneling probabilities for the birth of that universe (TPWKB).
Since the WKB wavefunction depends on the radiation energy (E) and the free
parameters coming from the HL theory (gc, gr, gs, gLambda), we compute the
behavior of TPWKB as a function of E and all the HL parameters gc, gr, gs,
gLambda.
