Hamiltonian analysis of Poincar\'e gauge theory scalar modes
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
The Hamiltonian constraint formalism is used to obtain the first explicit complete analysis of non-trivial viable dynamic modes for the Poincar\'e gauge theory of gravity. Two modes with propagating spin-zero torsion are analyzed. The explicit form of the Hamiltonian is presented. All constraints are obtained and classified. The Lagrange multipliers are derived. It is shown that a massive spin- mode has normal dynamical propagation but the associated massless is pure gauge. The spin- mode investigated here is also viable in general. Both modes exhibit a simple type of ``constraint bifurcation'' for certain special field/parameter values.
Keywords
Cite
@article{arxiv.gr-qc/9902032,
title = {Hamiltonian analysis of Poincar\'e gauge theory scalar modes},
author = {Hwei-jang Yo and James M. Nester},
journal= {arXiv preprint arXiv:gr-qc/9902032},
year = {2009}
}
Comments
28 pages, LaTex, submitted to International Journal of Modern Physics D