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Addendum: Observables for general relativity related to geometry

  • Paweł Duch
  • Wojciech Kamiński
  • Jerzy Lewandowski
  • Jędrzej Świeżewski
Open Access
Article

Abstract

In this addendum we clarify a point which strengthens one of the results from [1]. Namely, we show that the algebra of the observables F(r, θ) is yet simpler then it was described in [1]. This is an important point, because with this simplification an important subalgebra becomes canonical, allowing for a natural reduction of the phase space.

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

References

  1. [1]
    P. Duch, W. Kamiński, J. Lewandowski and J. Świeżewski, Observables for General Relativity related to geometry, JHEP 05 (2014) 077 [arXiv:1403.8062] [INSPIRE].ADSMathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    N. Bodendorfer, J. Lewandowski and J. Świeżewski, General relativity in the radial gauge I. Reduced phase space and canonical structure, to appear soon.Google Scholar
  3. [3]
    N. Bodendorfer, J. Lewandowski and J. Świeżewski, General relativity in the radial gauge II. Quantisation and spherical symmetry, to appear soon.Google Scholar
  4. [4]
    N. Bodendorfer, J. Lewandowski and J. Świeżewski, A quantum reduction to spherical symmetry in loop quantum gravity, arXiv:1410.5609 [INSPIRE].

Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Paweł Duch
    • 1
  • Wojciech Kamiński
    • 2
  • Jerzy Lewandowski
    • 2
    • 3
  • Jędrzej Świeżewski
    • 2
  1. 1.Institute of PhysicsJagiellonian UniversityKrakówPoland
  2. 2.Faculty of PhysicsUniversity of WarsawWarszawaPoland
  3. 3.Institute for Quantum Gravity (IQG)FAU Erlangen — NurnbergErlangenGermany

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