Tunnelling, Temperature and Taub-NUT Black Holes

TL;DR

This paper compares quantum tunnelling methods for calculating black hole temperatures across various spacetimes, including Taub-NUT, highlighting their applicability and limitations, especially for extremal black holes.

Contribution

It extends tunnelling temperature calculations to Taub-NUT-Ads black holes and analyzes the methods' limitations for extremal cases.

Findings

General temperature formula for Taub-NUT-Ads black holes

Limitations of tunnelling methods for extremal black holes

Consistency of results with other approaches

Abstract

We 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.