Constraint Analysis of Linearized Gravity and a Generalization of the HTZ Approach

2007/03/29 by R. N. Ghalati, Ramin N. Ghalati, Ghalati, Ramin N.
Engineering · Physics and Astronomy · #Inertial Sensor and Navigation #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0703268

arxiv created 2007/03/29 · arxiv updated 2009/12/01

Abstract

The Dirac constraint formalism is applied to linearized gravity to determine the structure of constraints and construct the canonical Hamiltonian. The diffeomorphism invariance of the Lagrangian is retrieved by a nontrivial generalization of the method of Henneaux, Teitelboim and Zanelli, which takes into account the appearance of spatial derivatives of constraints in the constraint structure. A couple of first order formulations of the theory are discussed with the hope of opening avenues on an unambiguous canonical treatment of the Einstein-Hilbert action in its first order form.

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