Consistency of holonomy-corrected scalar, vector, and tensor perturbations in loop quantum cosmology

Thomas Cailleteau, Aurélien Barrau, Francesca Vidotto, and Julien Grain
Phys. Rev. D 86, 087301 – Published 16 October 2012

Abstract

Loop quantum cosmology yields two kinds of quantum corrections to the effective equations of motion for cosmological perturbations. Here we focus on the holonomy kind and we study the problem of the closure of the resulting algebra of constraints when a scalar field is considered in the matter Hamiltonian. Up to now, tensor, vector and scalar perturbations were studied independently, leading to different algebras of constraints. The structures of the related algebras were imposed by the requirement of anomaly freedom. In this article we show that the algebra can be modified by a very simple quantum correction, holding for all types of perturbations. The Mukhanov-Sasaki equations of motion are similarly modified by a simple term.

  • Received 28 June 2012

DOI:https://doi.org/10.1103/PhysRevD.86.087301

© 2012 American Physical Society

Authors & Affiliations

Thomas Cailleteau, Aurélien Barrau, and Francesca Vidotto

  • Laboratoire de Physique Subatomique et de Cosmologie, UJF, INPG, CNRS, IN2P3 53, avenue des Martyrs, 38026 Grenoble cedex, France

Julien Grain

  • Institut d’Astrophysique Spatiale, Université Paris-Sud, CNRS Batiments 120-121, 91405 Orsay cedex, France

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Issue

Vol. 86, Iss. 8 — 15 October 2012

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