Abstract
Shape dynamics is a reformulation of general relativity, locally equivalent to Einstein’s theory, in which the refoliation invariance of the older theory is traded for local scale invariance. Shape dynamics is here derived in a formulation related to the Ashtekar variables by beginning with a modification of the Plebanski action. The constraints of shape dynamics and their algebra are reproduced in terms of these new variables.
- Received 12 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.044070
© 2014 American Physical Society