Cosmological perturbation theory and quantum gravity

  • Romeo Brunetti
  • Klaus Fredenhagen
  • Thomas-Paul Hack
  • Nicola Pinamonti
  • Katarzyna Rejzner
Open Access
Regular Article - Theoretical Physics

Abstract

It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of gauge-invariant local observables by means of which perturbative invariant expressions of arbitrary order are generated. In particular, in the linearised theory, first order gauge-invariant observables familiar from cosmological perturbation theory are recovered. Explicit expressions of second order quantities are presented as well.

Keywords

Models of Quantum Gravity Classical Theories of Gravity 

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.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Romeo Brunetti
    • 1
  • Klaus Fredenhagen
    • 2
  • Thomas-Paul Hack
    • 3
  • Nicola Pinamonti
    • 4
    • 5
  • Katarzyna Rejzner
    • 6
  1. 1.Dipartimento di MatematicaUniversità di TrentoPovoItaly
  2. 2.II Institute für Theoretische PhysikUniversität HamburgHamburgGermany
  3. 3.Institute für Theoretische PhysikUniversität LeipzigLeipzigGermany
  4. 4.Dipartimento di MatematicaUniversità di GenovaGenovaItaly
  5. 5.INFN, Sezione di GenovaGenovaItaly
  6. 6.Department of MathematicsUniversity of YorkYorkUnited Kingdom

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