Canonical LQG operators and kinematical states for plane gravitational waves

Abstract

In a 1+1 dimensional model of plane gravitational waves the flux-holonomy algebra of loop quantum gravity is modified in such a way that the new basic operators satisfy canonical commutation relations. Thanks to this construction it is possible to find kinematical solutions for unidirectional plane gravitational waves with finite geometric expectation values and fluctuations, which was problematic in a more conventional approach in a foregoing paper by the author and coauthors.

13 pages

References in corpus (2)

• Interpretation of the triad orientations in loop quantum cosmology
• Loop quantization of the Gowdy model with local rotational symmetry

Cited by in corpus (1)

• Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime