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Based on particles in a dynamical geometry, extending the Parikh's method of quantum tunneling radiation, we deeply investigate the quantum tunneling radiation of Kerr-NUT black hole. When self-gravitating action, energy conservation, and angular momentum conservation are taken into account, the emission rate of the particle on the event horizon is related to the change of Bekenstein–Hawking entropy and the emission spectrum is not precisely thermal, but is consistent with an underlying unitary theory.

Applying Parikh–Wilzcek's semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time. The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein–Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.

Applying Parikh's quantum tunnelling method, this paper has studied the quantum tunnelling radiation of Schwarzschild de Sitter black hole with a global monopole. The result shows that the tunnelling rates at the event horizon and the cosmological horizon are related to Bekenstein–Hawking entropy and the derived radiation spectrum is not precisely thermal when considering energy conservation and self-gravitation interaction.

Considering the self-gravitation and energy conservation as well as charge conservation, we extend Medved and Vagenas's quantum tunneling method to the global monopole charged black hole, and give a correction to Hawking radiation of a charged particle.