2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177389We investigate quantum tunnelling methods for calculating black hole temperature, specifically the null geodesic method of Parikh and Wilczek and the Hamilton-Jacobi Ansatz method of Angheben et al. We consider application of these methods to a broad class of spacetimes with event horizons, inlcuding Rindler and non-static spacetimes such as Kerr-Newman and Taub-NUT. We obtain a general form for the temperature of Taub-NUT-Ads black holes that is commensurate with other methods. We examine the limitations of these methods for extremal black holes, taking the extremal Reissner-Nordstrom spacetime as a case in point.22 pages, 3 figures; added references, fixed figures, added comments to extremal section, added footnoteGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryTunnelling, Temperature and Taub-NUT Black Holestext