Abstract
The semiclassical tunneling technique proposed by Parikh and Wilczek to study Hawking radiation of static and stationary black holes has been extensively used to investigate the Hawking radiation of different types of black holes. In this paper, the geodesic equation of charged massive particle and the massless particle are obtained by using the Lagrangian analysis. The geodesic equations of charged massive particle and massless particle are determined uniformly and consistently. Based on the geodesic equation, the Hawking radiation of the charged massive particle is investigated near the event horizon of Kerr–Newman–de Sitter black hole. By finding the imaginary part of the action of charged massive particle, the Hawking temperature and the tunneling probability of charged massive particle across the event horizon of KNdS black hole are obtained. The finding of this paper is a development for Parikh–Wilczek’s tunneling technique.
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