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.

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

Hamilton Areas of Study

Physics