Topological nature of the Hawking temperature of black holes
Abstract
In this work, we determine that the Hawking temperature of twodimensional black holes possesses a purely topological nature. We find a very simple but powerful formula, based on a topological invariant known as the Euler characteristic, which is able to provide the exact Hawking temperature of any twodimensional black hole—and, in fact, of any metric that can be dimensionally reduced to two dimensions—in any given coordinate system, introducing a covariant way to determine the temperature only using virtually trivial computations. We apply the topological temperature formula to several known black hole systems as well as to the Hawking emission of solitons of integrable equations.
 Publication:

Physical Review D
 Pub Date:
 February 2019
 DOI:
 10.1103/PhysRevD.99.044042
 arXiv:
 arXiv:1810.09322
 Bibcode:
 2019PhRvD..99d4042R
 Keywords:

 General Relativity and Quantum Cosmology;
 Nonlinear Sciences  Pattern Formation and Solitons
 EPrint:
 Updated version with more relevant references