Type of Work
Article
Date
2-15-2011
Journal Title
Physical Review D
Journal ISSN
2470-0010
Journal Volume
83
Journal Issue
4
First Page
044034-1
Last Page
044034-13
DOI
10.1103/PhysRevD.83.044034
Abstract
We investigate using plane-fronted gravitational wave space-times as model systems to study loop quantization techniques and dispersion relations. In this classical analysis we start with planar symmetric space-times in the real connection formulation. We reduce via Dirac constraint analysis to a final form with one canonical pair and one constraint, equivalent to the metric and Einstein equations of plane-fronted-with-parallel-rays waves. Because of the symmetries and use of special coordinates, general covariance is broken. However, this allows us to simply express the constraints of the consistent system. A recursive construction of Dirac brackets results in nonlocal brackets, analogous to those of self-dual fields, for the triad variables. Not surprisingly, this classical analysis produces no evidence for dispersion, i.e. a variable propagation speed of gravitational plane-fronted-with-parallel-rays waves.
Citation Information
Hinterleitner, F. and Major, Seth, "Plane gravitational waves in real connection variables" (2011). Hamilton Digital Commons.
https://digitalcommons.hamilton.edu/articles/173
Hamilton Areas of Study
Physics
Notes
This document is the publisher's version of an article published in:
Physical Review D., vol. 83, no. 4 (2011): 044034. doi: 10.1103/PhysRevD.83.044034