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Inflation with hyperbolic potential in the braneworld model
Authors:Dilip Paul   Bikash Chandra Paul  Xin-He Meng
Affiliation:(1) Department of Physics, North Bengal University, Siliguri, Dist. Darjeeling, 734 013, India;(2) Department of Physics, Nankai University, Tianjin, 300071, People’s Republic of China;(3) BK21 Division of Advanced Research and Education in Physics, Hanyang University, Seoul, 133-791, Korea;(4) Present address: Khoribari High School (H.S.), Khoribari, Dist. Darjeeling, 734 427, India
Abstract:In this paper we study inflationary dynamics with a scalar field in an inverse coshyperbolic potential in the braneworld model. We note that a sufficient inflation may be obtained with the potential considering slow-roll approximation in the high energy limit. We determine the minimum values of the initial inflaton field required to obtain sufficient inflation and also determine the relevant inflationary parameters. The numerical values of spectral index of the scalar perturbation spectrum are determined by varying the number of e-foldings for different initial values of the inflaton field. The result obtained here is in good agreement with the current observational limits.
Keywords:RS braneworld  hyperbolic potential  cosmology
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