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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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13 pages, 4 figures, Accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.82.024031

We investigate the propagation and evolution for a massless scalar field in the background of $\lambda=1/2$ Ho\v{r}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 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 Ho\v{r}ava-Lifshitz gravity.

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