English

Loop quantum Brans-Dicke cosmology

General Relativity and Quantum Cosmology 2013-04-16 v2 Cosmology and Nongalactic Astrophysics

Abstract

The spatially flat and isotropic cosmological model of Brans-Dicke theory with coupling parameter ω3/2\omega\neq-3/2 is quantized by the approach of loop quantum cosmology. An interesting feature of this model is that, although the Brans-Dicke scalar field is non-minimally coupled with curvature, it can still play the role of an emergent time variable. In the quantum theory, the classical differential equation which represents cosmological evolution is replaced by a quantum difference equation. The effective Hamiltonian and modified dynamical equations of loop quantum Brans-Dicke cosmology are also obtained, which lay a foundation for the phenomenological investigation to possible quantum gravity effects in cosmology. The effective equations indicate that the classical big bang singularity is again replaced by a quantum bounce in loop quantum Brans-Dicke cosmology.

Keywords

Cite

@article{arxiv.1211.4183,
  title  = {Loop quantum Brans-Dicke cosmology},
  author = {Xiangdong Zhang and Michal Artymowski and Yongge Ma},
  journal= {arXiv preprint arXiv:1211.4183},
  year   = {2013}
}

Comments

13 pages, second version

R2 v1 2026-06-21T22:40:13.364Z