English

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

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0703268,
  title  = {Constraint Analysis of Linearized Gravity and a Generalization of the HTZ Approach},
  author = {Ramin N. Ghalati},
  journal= {arXiv preprint arXiv:hep-th/0703268},
  year   = {2007}
}