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arXiv 1206.2109astro-ph.COgr-qc
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根据最新的CMB观测资料重新研究遗迹引力波

Revisit relic gravitational waves based on the latest CMB observations

Ming-Lei Tong

摘要:

根据CMB的观测,Mielczarek(\cite{Mielczarek})评估了再加热温度,这可能有助于确定宇宙的历史。本文利用WMAP 7的新观测资料重新计算了再加热温度。在此基础上,给出了各个频段的遗迹引力波(RGW)的近似解。在给定标量谱指数$n_s$的情况下,结合产生RGW时的量子归一化和CMB观测,得到了张量标量比$r$和暴胀指数$β$之间的关系.作为比较,还给出了慢卷膨胀模型中的$r-β$图$r-β$。因此,来自CMB的$r$的观测极限导致对$β$的值的限制。然后,我们用量子标准化方法对不同的$r$值和相应的$β$值给出了RGW的能量密度谱。为了比较,还讨论了基于慢卷暴胀的RGW的能量密度谱。我们发现,$n_s$的值的影响RGW的光谱敏感地在很高的频率。基于现有的和计划中的引力波探测器,我们讨论了引力波的探测能力。

英文摘要:

According to the CMB observations, Mielczarek (\cite{Mielczarek}) evaluated the reheating temperature, which could help to determine the history of the Universe. In this paper, we recalculate the reheating temperature using the new data from WMAP 7 observations. Based on that, we list the approximate solutions of relic gravitational waves (RGWs) for various frequency bands. With the combination of the quantum normalization of RGWs when they are produced and the CMB observations, we obtain the relation between the tensor-to-scalar ratio $r$ and the inflation index $β$ for a given scalar spectral index $n_s$. As a comparison, the diagram $r-β$ in the slow-roll inflation model is also given. Thus, the observational limits of $r$ from CMB lead to the constraints on the value of $β$. Then, we illustrate the energy density spectrum of RGWs with the quantum normalization for different values of $r$ and the corresponding $β$. For comparison, the energy density spectra of RGWs with parameters based on slow-roll inflation are also discussed. We find that the values of $n_s$ affect the spectra of RGWs sensitively in the very high frequencies. Based on the current and planed gravitational wave detectors, we discuss the detectabilities of RGWs.

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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