Quantum Tunnelling and Hawking Radiation of Schwarzchild--Anti-de Sitter Black Hole with Topological Defect

We extend Parikh’s recent work to Schwarzchild--anti-de Sitter black hole with topological defect whose Arnowitt--Deser--Misner (ADM) mass is no longer identical to its mass parameter. We view the Hawking radiation as a tunnelling process across the event horizon and the cosmological horizon. From the tunnelling probability, we find a leading correction to the semi-classical emission rate. The result employs an underlying unitary theory.