Perturbation spectra from intermediate inflation.
Perturbation spectra from intermediate inflation.
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中间暴胀的扰动谱。
DOI：
10.1103/physrevd.47.r5219
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
A. Liddle
中科院分区：
文献类型：
--
作者：
J. Barrow;A. Liddle
我们研究了“中间”通货膨胀模型，其中比例因子$a(t)$增长为$a(t)=\mathrm{exp}(A{t}^{f})$, $0lfl1$, $A$常数。这些解产生为暴胀$\ensuremath{\varphi}$的一类给定势的精确解析解。对于一个更简单的以$\ensuremath{\varphi}$为幂的势类，它们以慢滚解的形式出现，特别地，对于$f=\frac{2}{3}$，它们包括一类给出哈里森-泽尔多维奇谱的势。摄动谱指数$n$在天体物理尺度上可以大于1。在保持标量谱接近尺度不变性的同时，也有可能产生大量的引力波；后一种可能性在面对大多数观测数据时表现良好。
We investigate models of `intermediate' inflation, where the scale factor $a(t)$ grows as $a(t)=\mathrm{exp}(A{t}^{f})$, $0lfl1$, $A$ constant. These solutions arise as exact analytic solutions for a given class of potentials for the inflaton $\ensuremath{\varphi}$. For a simpler class of potentials falling off as a power of $\ensuremath{\varphi}$ they arise as slow-roll solutions, and in particular they include, for $f=\frac{2}{3}$, the class of potentials which give the Harrison-Zel'dovich spectrum. The perturbation spectral index $n$ can be greater than unity on astrophysical scales. It is also possible to generate substantial gravitational waves while keeping the scalar spectrum close to scale invariance; this latter possibility performs well when confronted with most observational data.