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arXiv 1508.03376gr-qchep-th
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某些快子暴胀模型中的微扰

Perturbations in some models of tachyonic inflation

Iván E. Sánchez G., Osvaldo P. Santillan

摘要:

本文考虑了早期宇宙的一个暴胀快子场模型。在慢卷暴胀近似下,研究了在这个快子时代由一个特定的势产生的几种宇宙学效应。特别地,得到了谱指数$n_s$随时间的演化。宇宙学标量扰动方程的解析解,以表明小$k$值的功率谱是$P_ζ\sim 1/k^{\frac{1}{2}+ν_2}$,其中$ν_2$取决于正压指数$γ_0$。对于大的$k$值,我们发现,功率谱是很好地近似的标准通货膨胀模型。此外,为了得到微扰的原始非高斯性,还计算了三点关联函数。其结果是,$f_{NG} \simeq 0$,因此,由该快子场产生的非高斯性是可以忽略的。

英文摘要:

In the present work an inflationary tachyon field model of the early universe is considered. Several cosmological effects produced by a particular potential in this tachyonic era are studied, under the approximation of slow-roll inflation. In particular, the evolution of the spectral index $n_s$ with time is obtained. The equations for the cosmological scalar perturbations are analytically solved in order to show that the power spectrum for small $k$ values is $P_ζ\sim 1/k^{\frac{1}{2}+ν_2}$, where $ν_2$ depends on the barotropic index $γ_0$. For large $k$ values we find that the power spectrum is well approximated by the standard inflation model. Additionally, the three-point correlation function is calculated in order to get the primordial non-Gaussianity of the perturbation. The result is that $f_{NG} \simeq 0$ so the non-gaussianities generated by this tachyon field are negligible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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