Euclidean teleparallel relativity and black hole partition functions

Abstract: The Euclidean path integral approach to quantum gravity is conventionally formulated in terms of the Einstein-Hilbert-York-Gibbons-Hawking action, which requires suitable subtractions to produce the correct black hole partition function. However, there is a unique, canonical teleparallel reformulation which reproduces the same results without subtractions or other ambiguities. This is verified in the case of a black hole with or without an electric or a magnetic charge and in a background with or without a cosmological constant. Further, it is conjectured that the results may be improved in a local prescription which reduces the canonical teleparallel action to a surface integral over the horizon