首页|Constant-roll inflation with non-minimally derivative coupling

Constant-roll inflation with non-minimally derivative coupling

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We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein tensor.With the slow-roll parameter ηφ=-(φ)/(H(φ))being a constant,we calculate the power spectra for scalar and tensor perturbations,and derive the expressions for the scalar spectral tilt ns,the tensor spectral tilt nT,and the tensor-to-scalar ratio r.We find that the expressions for ns are different with different ordering of taking the derivative of the scalar power spectrum with respect to the scale k and the horizon crossing condition csk=aH in the constant-roll inflation,the consistency relation r=-8nT does not hold if|ηφ|is not small,and the duality of the tensor-to-scalar ratio between the slow-roll inflation and ultra-slow-roll inflation does not exist in inflationary models with non-minimally derivative coupling.The result offers a fresh perspective on the understanding of the inflationary models with non-minimally derivative coupling and is helpful for the production of scalar induced gravitational waves in the framework of ultra-slow-roll inflation with non-minimally derivative coupling.

inflationconstant-roll inflationnon-minimally derivative coupling inflation

Jie Liu、Yungui Gong、Zhu Yi

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School of Physics and Electronic Engineering,Hainan Normal University,Haikou 571158,China

Department of Physics,School of Physical Science and Technology,Ningbo University,Ningbo,Zhejiang 315211,China

School of Physics,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China

Faculty of Arts and Sciences,Beijing Normal University,Zhuhai 519087,China

Advanced Institute of Natural Sciences,Beijing Normal University,Zhuhai 519087,China

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2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(9)