Constant-roll inflation with non-minimally derivative coupling  

作　　者：Jie Liu Yungui Gong Zhu Yi 

机构地区：[1]School of Physics and Electronic Engineering,Hainan Normal University,Haikou 571158,China [2]Department of Physics,School of Physical Science and Technology,Ningbo University,Ningbo,Zhejiang 315211,China [3]School of Physics,Huazhong University of Science and Technology,Wuhan,Hubei 430074,China [4]Faculty of Arts and Sciences,Beijing Normal University,Zhuhai 519087,China [5]Advanced Institute of Natural Sciences,Beijing Normal University,Zhuhai 519087,China

出　　处：《Communications in Theoretical Physics》2024年第9期55-62,共8页理论物理通讯（英文版）

基　　金：supported by the Hainan Provincial Natural Science Foundation of China under Grant No.121MS033;partially supported by the National Key Research and Development Program of China under Grant No.2020YFC2201504;supported by the National Natural Science Foundation of China under Grant No.12205015。

摘　　要：We investigate the constant-roll inflation with non-minimally kinetic coupling to the Einstein tensor.With the slow-roll parameterηφ=-φ/(Hφ)being a constant,we calculate the power spectra for scalar and tensor perturbations,and derive the expressions for the scalar spectral tilt n_(s),the tensor spectral tilt n_(T),and the tensor-to-scalar ratio r.We find that the expressions for n_(s)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 c_(sk)=a H in the constant-roll inflation,the consistency relation r=-8n_(T)does not hold if|η_(φ)|is not small,and the duality of the tensorto-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-slowroll inflation with non-minimally derivative coupling.

关 键 词：INFLATION constant-roll inflation non-minimally derivative coupling inflation 

分 类 号：O411[理学—理论物理]