Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations

Details Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations

2008-09-27

arxiv.org/abs/0809.4763v1

Class.Quant.Grav.26:055005,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1088/0264-9381/26/5/055005

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.

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