Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
Wei-Jian Jin, Yongge Ma, and Tao Zhu

TL;DR
This paper investigates the pre-inflationary dynamics of Starobinsky and alpha-attractor inflation models within loop quantum Brans-Dicke cosmology, revealing quantum effects influence initial conditions and transition to slow-roll inflation.
Contribution
It systematically analyzes how quantum geometry effects in loop quantum Brans-Dicke cosmology affect the pre-inflationary phase and initial conditions for these inflation models.
Findings
Pre-inflationary quantum phase can be expanding or contracting.
Quantum effects influence initial conditions for inflation.
Restricted initial conditions yield at least 60 e-folds of inflation.
Abstract
Recently, the nonperturbative quantization scheme of loop quantum gravity has been extended to the Brans-Dicke theory and the corresponding loop quantum Brans-Dicke cosmology has been derived, which provides an essential platform to explore inflationary models in this framework. In this paper, we consider two inflation models, the Starobinsky and -attractor inflation whose cosmological predictions are in excellent agreement with Planck data, and study systematically their pre-inflationary dynamics as well as the slow-roll inflation. We show that for both models, the background evolution of a flat Friedmann-Lema\^{i}tre-Robertson-Walker universe in general can be divided into three different phases: the pre-inflationary quantum phase, quantum-to-classical transition, and the slow-roll inflation. The pre-inflationary dynamics are dominated by the quantum geometry effects of loop…
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