A topological path to the Hawking temperature: astrophysical black holes and analogues

ABSTRACT: In this talk, a topological approach to determining the Hawking temperature of black holes is presented, embodied in a powerful, covariant formula involving the Euler characteristic of a (Euclideanized) spacetime manifold. This method has the advantage of allowing thermodynamical calculations to be simply carried out on spacetimes of complicated metrical form, as well as shining a light on the little-known but deep links between lower-dimensional topology and black hole thermodynamics. The method's efficacy for quantum soliton thermodynamics is also illustrated. Based on Phys. Rev. D 99, 044042 (2019) and New J. Phys. 21, 053042 (2019).