Abstract
We show that the constraint algebra of Ashtekar’s Hamiltonian formulation of general relativity can be nontrivially deformed by allowing the cosmological constant to become an arbitrary function of the (Weyl) curvature. Our result implies that there is not one but infinitely many (parametrized by an arbitrary function) four-dimensional generally covariant local gravity theories propagating 2 degrees of freedom.
- Received 1 November 2007
DOI:https://doi.org/10.1103/PhysRevLett.100.081102
©2008 American Physical Society