Article Title

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.

Hamilton Areas of Study

Physics