Constraint Dynamics and Gravitons in Three Dimensions

Details Constraint Dynamics and Gravitons in Three Dimensions Constraint Dynamics and Gravitons in Three Dimensions

2008-05-28

arxiv.org/abs/0805.4328v4

JHEP0809:084,2008

Physics

High Energy Physics

High Energy Physics - Theory

Published version in JHEP

Scientific paper

10.1088/1126-6708/2008/09/084

The complete non-linear three-dimensional Einstein gravity with gravitational Chern-Simons term and cosmological constant are studied in dreibein formulation. The constraints and their algebras are computed in an explicit form. From counting the number of first and second class constraints, the number of dynamical degrees of freedom, which equals to the number of propagating graviton modes, is found to be 1, "regardless of" the value of cosmological constant. I note also that the usual equivalence with Chern-Simons gauge theory does "not" work for general circumstances.

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