Loop quantum Brans-Dicke cosmology

Abstract

The spatially flat and isotropic cosmological model of Brans-Dicke theory with coupling parameter $\omega \ne -3/2$ 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.

13 pages, second version

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Cited by in corpus (24)

• A Short Review of Loop Quantum Gravity
• Pre-inflationary universe in loop quantum cosmology
• A comparison between Jordan and Einstein frames of Brans-Dicke gravity a la loop quantum cosmology
• Non-adiabatic Evolution of Primordial Perturbations and non-Gaussinity in Hybrid Approach of Loop Quantum Cosmology
• Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
• The effective dynamics of loop quantum $R^2$ cosmology
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• Higher-dimensional quantum Oppenheimer-Snyder model
• Alternative dynamics in loop quantum Brans-Dicke cosmology
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