English

Effective loop quantum cosmology as a higher-derivative scalar-tensor theory

General Relativity and Quantum Cosmology 2017-12-13 v2 High Energy Physics - Theory

Abstract

Recently, Chamseddine and Mukhanov introduced a higher-derivative scalar-tensor theory which leads to a modified Friedmann equation allowing for bouncing solutions. As we note in the present work, this Friedmann equation turns out to reproduce exactly the loop quantum cosmology effective dynamics for a flat isotropic and homogeneous space-time. We generalize this result to obtain a class of scalar-tensor theories, belonging to the family of mimetic gravity, which all reproduce the loop quantum cosmology effective dynamics for flat, closed and open isotropic and homogeneous space-times.

Keywords

Cite

@article{arxiv.1703.10812,
  title  = {Effective loop quantum cosmology as a higher-derivative scalar-tensor theory},
  author = {David Langlois and Hongguang Liu and Karim Noui and Edward Wilson-Ewing},
  journal= {arXiv preprint arXiv:1703.10812},
  year   = {2017}
}

Comments

22 pages. v2: minor clarifications added, references updated

R2 v1 2026-06-22T19:03:23.910Z