English

Canonical LQG operators and kinematical states for plane gravitational waves

General Relativity and Quantum Cosmology 2017-03-13 v1

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.

Keywords

Cite

@article{arxiv.1703.03757,
  title  = {Canonical LQG operators and kinematical states for plane gravitational waves},
  author = {F. Hinterleitner},
  journal= {arXiv preprint arXiv:1703.03757},
  year   = {2017}
}

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13 pages