Big crunch avoidance in k=1 semiclassical loop quantum cosmology

Parampreet Singh and Alexey Toporensky
Phys. Rev. D 69, 104008 – Published 12 May 2004
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Abstract

It is well known that a closed universe with a minimally coupled massive scalar field always collapses to a singularity unless the initial conditions are extremely fine-tuned. We show that the corrections to the equations of motion for the massive scalar field, given by loop quantum gravity in the high curvature regime, always lead to a bounce independently of the initial conditions. In contrast with the previous works in loop quantum cosmology, we note that the singularity can be avoided even at the semiclassical level of effective dynamical equations with nonperturbative quantum gravity modifications, without using a discrete quantum evolution.

  • Received 13 January 2004

DOI:https://doi.org/10.1103/PhysRevD.69.104008

©2004 American Physical Society

Authors & Affiliations

Parampreet Singh*

  • IUCAA, Ganeshkhind, Pune 411 007, India

Alexey Toporensky

  • Sternberg Astronomical Institute, Moscow University, Moscow 119 899, Russia

  • *Electronic address: param@iucaa.ernet.in
  • Electronic address: lesha@sai.msu.ru

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Vol. 69, Iss. 10 — 15 May 2004

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