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Published July 4, 1991 | public
Journal Article

Canonical formulations of full nonlinear topologically massive gravity

Abstract

First-order forms of the complete nonlinear Einstein plus Chern-Simons third-derivative-order action are exhibited in both metric and dreibein forms. The "hamiltonians" are combinations of diffeomorphism and tangent space rotation generators as expected of generally covariant systems; the pure Chern-Simons hamiltonian has an additional, conformal transformation, term. These constraints reduce the apparent number of degrees of freedom to 1 and 0 respectively. The constraint algebras close, as required by this counting, without second-class constraints. The nature of the noninvariant terms in the Chern-Simons lagrangian density is discussed. For comparison, the linearized limit and the corresponding nonabelian vector action's canonical form are also given.

Additional Information

© 1991 Elsevier. Received 4 March 1991. This work was supported in part by NSF Grant #88-04561. S.D. also thanks the Physics Department at UCLA for hospitality during part of this work. We enjoyed many useful discussions with Jim McCarthy.

Additional details

Created:
August 20, 2023
Modified:
October 24, 2023