2020/09/30 by Qin Fei, Zhu Yi, Yingjie Yang · 13 citations
Physics and Astronomy · #Big Bang nucleosynthesis #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Derivative (finance) #Inflation (cosmology) #Limit (mathematics) #Nucleosynthesis #Particle physics theoretical and experimental studies #Scale (ratio) #Time derivative #gr-qc
paper · pdf · doi:10.3390/universe6110213
published in Universe 6(11), 213 (Multidisciplinary Digital Publishing Institute) · 12 pages, 3 figures
openalex publication_date 2020/11/19 · arxiv created 2020/11/20 · arxiv updated 2020/11/23 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We derive the reconstruction formulae for the inflation model with the non-minimal derivative coupling term. If reconstructing the potential from the tensor-to-scalar ratio r, we could obtain the potential without using the high friction limit. As an example, we reconstruct the potential from the parameterization r=8α/(N+β)γ, which is a general form of the α-attractor. The reconstructed potential has the same asymptotic behavior as the T- and E-model if we choose γ=2 and α≪1. We also discuss the constraints from the reheating phase by assuming the parameter wre of state equation during reheating is a constant. The scale of big-bang nucleosynthesis could put an upper limit on ns if wre=2/3 and a low limit on ns if wre=1/6.