arXiv 0903.19702009-03-11astro-ph.CO

修正的具有宇宙学常数的Starobinsky模型的再讨论

Revisiting the modified Starobinsky model with cosmological constant

Ana Pelinson

备注：: 12 pages, 2 figures, accepted for publication in Int. J. Mod. Phys. D
发表信息：: Int.J.Mod.Phys. D18, Issue: 9 (2009) pp. 1355-1366
DOI：: 10.1142/S0218271809015138

摘要：

Starobinsky模型是一个自然暴胀的场景，其中暴胀是由于无质量物质场的量子效应而产生的。Starobinsky（MSt）模型的一个修正版本考虑了物质场的质量和宇宙学常数$Λ$。运动方程变得复杂得多，但近似的解析和数值解是可能的。在MSt模型中，暴胀开始于基础理论的超对称（SUSY）粒子含量，而向辐射主导时代的过渡是由于相对较重的s粒子去耦而发生的。对$Λ=0$来说，暴胀解在最后一个阶段，也就是在解耦之前是稳定的。在本文中，我们推广这一结果的$Λ\neq 0$，因为$Λ$应该是非零的超对称尺度。我们还考虑了对$Λ$的辐射修正。主要结果是MSt模型的暴胀解仍然是稳健和稳定的。

英文摘要：

The Starobinsky model is a natural inflationary scenario in which inflation arises due to quantum effects of the massless matter fields. A modified version of the Starobinsky (MSt) model takes the masses of matter fields and the cosmological constant, $Λ$, into account. The equations of motion become much more complicated however approximate analytic and numeric solutions are possible. In the MSt model, inflation starts due to the supersymmetric (SUSY) particle content of the underlying theory and the transition to the radiation dominated epoch occurs due to the relatively heavy s-particles decoupling. For $Λ=0$ the inflationary solution is stable until the last stage, just before decoupling. In the present paper we generalize this result for $Λ\neq 0$, since $Λ$ should be non-vanishing at the SUSY scale. We also take into account the radiative corrections to $Λ$. The main result is that the inflationary solution of the MSt model remains robust and stable.

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