Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations Auteur(s): Alexandrov S., Krasnov Kirill (Article) Publié: Classical And Quantum Gravity, vol. 26 p.055005 (2009) Texte intégral en Openaccess : Ref HAL: hal-00325481_v1 Ref Arxiv: 0809.4763 DOI: 10.1088/0264-9381/26/5/055005 WoS: 000263493200006 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 33 Citations Résumé: We consider non-chiral, full Lorentz group-based Plebanski formulation of general relativity in its version that utilizes the Lagrange multiplier field Phi with ``internal'' indices. The Hamiltonian analysis of this version of the theory turns out to be simpler than in the previously considered in the literature version with Phi carrying spacetime indices. We then extend the Hamiltonian analysis to a more general class of theories whose action contains scalars invariants constructed from Phi. Such theories have recently been considered in the context of unification of gravity with other forces. We show that these more general theories have six additional propagating degrees of freedom as compared to general relativity, something that has not been appreciated in the literature treating them as being not much different from GR. |