General relativity reformed to a genuine Yang-Mills gauge theory for gravity

Abstract

The theory of general relativity is reformed to a genuine Yang-Mills gauge theory of the Poincaré group for gravity. Several pathologies of the conventional theory are thus removed, but not every GR vacuum satisfies the Y-M equations. The sector of GR solutions which survive is fully classified and it is found to include the Schwarzschild black hole. Two other solutions presented here have no GR counterpart and they describe expanding Friedmann universes with torsion which vanishes only asymptotically. They are discussed along with novel theoretical possibilities, such as a well-defined energy-momentum tensor for the gravitational field, and novel perspectives for unification and quantization.