The canonical frame of purified gravity
Abstract
In the recently introduced gauge theory of translations, dubbed Coincident General Relativity (CGR), gravity is described with neither torsion nor curvature in the spacetime affine geometry. The action of the theory enjoys an enhanced symmetry and avoids the second derivatives that appear in the conventional EinsteinHilbert action. While it implies the equivalent classical dynamics, the improved action principle can make a difference in considerations of energetics, thermodynamics and quantum theory. This paper reports on possible progress in those three aspects of gravity theory. In the socalled purified gravity, (1) energymomentum is described locally by a conserved, symmetric tensor, (2) the Euclidean path integral is convergent without the addition of boundary or regulating terms and (3) it is possible to identify a canonical frame for quantization.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2019
 DOI:
 10.1142/S0218271819440127
 arXiv:
 arXiv:1903.12072
 Bibcode:
 2019IJMPD..2844012B
 Keywords:

 Gravity;
 gravitational energy;
 teleparallel geometry;
 General Relativity and Quantum Cosmology
 EPrint:
 7 pages, no figures