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We investigate quantum tunnelling methods for calculating black holetemperature, specifically the null geodesic method of Parikh and Wilczek andthe Hamilton-Jacobi Ansatz method of Angheben et al. We consider application ofthese methods to a broad class of spacetimes with event horizons, inlcudingRindler and non-static spacetimes such as Kerr-Newman and Taub-NUT. We obtain ageneral form for the temperature of Taub-NUT-Ads black holes that iscommensurate with other methods. We examine the limitations of these methodsfor extremal black holes, taking the extremal Reissner-Nordstrom spacetime as acase in point.Comment: 22 pages, 3 figures; added references, fixed figures, added comments  to extremal section, added footnot

Tunnelling, temperature, and Taub-NUT black holes