Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-12-18
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages
Scientific paper
A canonical analysis of the Einstein-Hilbert action S_d (d>2) is considered, using the first order form with the metric and affine connection as independent fields. We adopt a conservative approach to using the Dirac constraint formalism; we do not use equations of motion which are independent of time derivatives and correspond to first class constraints to eliminate fields. Applying the Dirac procedure, we find that the primary constraints lead to secondary constraints which are equations of motion not involving time derivatives, and that those secondary constraints which are first class imply novel tertiary constraints which are also first class. Once the constraints and their associated gauge conditions are used to eliminate the non-dynamical degrees of freedom in S_d, there are d(d-3) degrees of freedom left in phase space. We also consider the simpler limiting case of the non-interacting graviton in the first order formalism as well as the effect of adding the action for a massless scalar field to the Einstein-Hilbert action.
Ghalati Ramin N.
McKeon Dennis G. C.
No associations
LandOfFree
A Reexamination of the Canonical Structure of the Einstein-Hilbert Action in First-Order Form does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Reexamination of the Canonical Structure of the Einstein-Hilbert Action in First-Order Form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Reexamination of the Canonical Structure of the Einstein-Hilbert Action in First-Order Form will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-548808