Hawking radiation as tunneling for Kerr-Newman-de Sitter black hole

When a black hole radiates particles, it losses energy and shrinks, the horizon contracts from its original radius to a new smaller radius. This leads to the separation between the initial and final radius, Which sets the barrier for the particles to tunnel. We develop the work of Parikh to the axes symmetry rotating Kerr-Newman-de Sitter spaces, and the Parikh method to calculate the rate of the Hawking radiation. Black hole horizon and cosmological horizon have the uniform expression. (authors)