Abstract
Considering Einstein's gravity theory as a gauge theory of the translation group , we introduce new variables which simplify the field equations of general relativity considerably. In a 3+1 decomposition, we discuss positive-semidefinite gravitational energy and establish a relationship of our variables to Ashtekar's. We show that our method applies also to the Poincaré gauge theory of gravitation.
- Received 19 March 1990
DOI:https://doi.org/10.1103/PhysRevD.42.441
©1990 American Physical Society