Tunneling mechanism in higher-dimensional rotating black hole with a cosmological constant in the approach of dimensional reduction

Recently, Umetsu applied the tunneling method to the research on Hawking radiation of black holes using the dimensional reduction method near the horizon. In a simple way he obtained the radiation temperature of Kerr-Newman black hole. In this paper, using the dimensional reduction method near the horizon, we apply the tunneling method to the research on Hawking radiation of a general Kerr-de Sitter metrics in all dimensions. Our results support the views of Umetsu and extend the tunneling method proposed by Parikh and Wilczek.