An exact inflationary solution in the chaotic model with non-minimal coupling

doi:10.1088/1674-1056/18/4/013

中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1362-1366.doi: 10.1088/1674-1056/18/4/013

An exact inflationary solution in the chaotic model with non-minimal coupling

刘雄伟, 杨树政, 陈世武, 林恺

Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China

收稿日期:2008-05-08 修回日期:2008-11-11 出版日期:2009-04-20 发布日期:2009-04-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10773008).

An exact inflationary solution in the chaotic model with non-minimal coupling

Liu Xiong-Wei(刘雄伟)^†, Yang Shu-Zheng(杨树政)^‡, Chen Shi-Wu(陈世武), and Lin Kai(林恺)

Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China

Received:2008-05-08 Revised:2008-11-11 Online:2009-04-20 Published:2009-04-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10773008).

摘要/Abstract

摘要： This paper presents a new exact inflationary solution to the non-minimally coupled scalar field. The inflation is driven by the evolution of a scalar field with inflation potential V(φ ) = (λ/ 4)φ⁴+ b₁ φ²+ b₂ + b₃ φ^-2 + b₄ φ^-4. The spectral index of the scalar density fluctuations n_s is consistent with the result of WMAP3 (Wilkinson Microwave Anisotropy Probe 3) for λCDM (Lambda-Cold Dark Matter). This model relaxes the constraint to the quartic coupling constant. And it can enter smoothly into a radiation-dominated stage when inflation ends.

关键词: exact solution, chaotic inflation, non-minimally coupling, spectral index

Abstract: This paper presents a new exact inflationary solution to the non-minimally coupled scalar field. The inflation is driven by the evolution of a scalar field with inflation potential $V(\varphi ) = (\lambda / 4)\varphi ^4 + b_1 \varphi ^2 + b_2 + b_3 \varphi ^{ - 2} + b_4 \varphi ^{ - 4}$. The spectral index of the scalar density fluctuations $n_s $ is consistent with the result of WMAP3 (Wilkinson Microwave Anisotropy Probe 3) for $\Lambda$CDM (Lambda-Cold Dark Matter). This model relaxes the constraint to the quartic coupling constant. And it can enter smoothly into a radiation-dominated stage when inflation ends.

Key words: exact solution, chaotic inflation, non-minimally coupling, spectral index

中图分类号: (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))

98.80.Cq

95.35.+d (Dark matter)

刘雄伟, 杨树政, 陈世武, 林恺. An exact inflationary solution in the chaotic model with non-minimal coupling[J]. 中国物理B, 2009, 18(4): 1362-1366.

Liu Xiong-Wei(刘雄伟), Yang Shu-Zheng(杨树政), Chen Shi-Wu(陈世武), and Lin Kai(林恺). An exact inflationary solution in the chaotic model with non-minimal coupling[J]. Chin. Phys. B, 2009, 18(4): 1362-1366.

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An exact inflationary solution in the chaotic model with non-minimal coupling

An exact inflationary solution in the chaotic model with non-minimal coupling

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