Toward loop quantization of plane gravitational waves
Type of Work
Article
Date
2012
Journal Title
Classical and Quantum Gravity
Journal ISSN
0264-9381
Journal Volume
29
Journal Issue
6
DOI
10.1088/0264-9381/29/6/065019
Abstract
The polarized Gowdy model in terms of Ashtekar–Barbero variables is reduced with an additional constraint derived from the Killing equations for plane gravitational waves with parallel rays. The new constraint is formulated in a diffeomorphism invariant manner and, when it is included in the model, the resulting constraint algebra is first class, in contrast to the prior work done in special coordinates. Using an earlier work by Banerjee and Date, the constraints are expressed in terms of classical quantities that have an operator equivalent in loop quantum gravity, making these plane gravitational wave spacetimes accessible to loop quantization techniques.
Citation Information
Hinterleitner, F. and Major, Seth, "Toward loop quantization of plane gravitational waves" (2012). Hamilton Digital Commons.
https://digitalcommons.hamilton.edu/articles/172
Hamilton Areas of Study
Physics