Chapter Title

Plane gravitational waves and flat space in loop quantum gravity

Type of Work

Book Chapter

Publication Date

2014

Book Title

Relativity and gravitation: 100 years after Einstein in Prague

Book Editor

Jirí Bicák, Tomás Ledvinka

Publisher

Springer

City

New York, New York, USA

First Page

515

Last Page

522

Volume

157

Series

Springer Proceedings in Physics

ISBN

978-3-319-06760-5

DOI

https://doi.org/10.1007/978-3-319-06761-2_72

Abstract

Classically a system of arbitrary plane gravitational waves propagating in the same or opposite directions can be restricted by first-class constraints to unidirectional waves, which travel without dispersion on a flat background. The unidirectionality constraints are formulated as well-defined Loop Quantum Gravity operators, together with criteria for an anomaly-free implantation, which is crucial for the occurrence or non-occurrence of dispersion, and more generally, of local Lorentz invariance violations due to (loop) quantum effects. By a set of further first-class constraints of the same kind we construct a quantum model of a no-wave state, i.e. of empty space.

Hamilton Areas of Study

Physics