Massive particle's tunneling radiation from higher-dimensional Schwarzchild de Sitte and Anti-de Sitter black holes

We investigate the massive particle's tunneling radiation from Schwarzchild black holes in higher-dimensional de Sitter and Anti-de Sitter space-times. Difference from the mass-less particle, the geodesics of the massive particle is not light-like, but decided by the phase velocity. We focus on s-waves, extend Parikh and Wilczek's semi-classical tunneling method, and calculate the massive particle's emission rate. It is shown that the emission rate is relevant to the change of the black hole's entropy respectively, and the result takes the same functional form as that of the mass-less particle.