Phys. Rev. Lett. 100, 081102 (2008) [4 pages]Deformations of the Constraint Algebra of Ashtekar’s Hamiltonian Formulation of General RelativityReceived 1 November 2007; published 27 February 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.081102
DOI:
10.1103/PhysRevLett.100.081102
PACS:
04.20.Fy, 04.60.−m
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.