Journal
UNIVERSE
Volume 6, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/universe6110213
Keywords
reconstruction; non-minimal derivative coupling inflation; reheating
Funding
- National Natural Science Foundation of China [11947138]
- Postdoctoral Science Foundation of China [2019M660514]
- Hubei College Students' innovation and entrepreneurship training program [S201910920050]
- Talent-Introduction Program of Hubei Polytechnic University [19xjk25R]
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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=8 alpha/(N+beta)gamma, which is a general form of the alpha-attractor. The reconstructed potential has the same asymptotic behavior as the T- and E-model if we choose gamma=2 and alpha MUCH LESS-THAN1. 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.
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