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

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 $\ensuremath{\lambda}=1/2$ Ho\ifmmode \check{r}\else \v{r}\fi{}ava-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 …