Analytical expressions for the greybody factor and dynamic evolution for the scalar field in the Hořava-Lifshitz black hole

We investigate the propagation and evolution for a massless scalar field in the background of λ=1/2 Hořava-Lifshitz black hole with the condition of detailed balance. We fortunately obtain an exact solution for the Klein-Gordon equation. Then, we find an analytical expression for the greybody factor which is valid for any frequency and also exactly show that the perturbation decays without any oscillation. All of these can help us to understand more about the Hořava-Lifshitz gravity.