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.
Received: 08 May 2008
Revised: 11 November 2008
Accepted manuscript online:
PACS:
98.80.Cq
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10773008).
Cite this article:
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 2009 Chin. Phys. B 18 1362
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