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arXiv 1102.0995astro-ph.CO
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Brans-Dicke理论中引力波的观测约束

Observational constraints of the Gravitational Waves in the Brans-Dicke Theory

R. C. Freitas, S. V. B. Gonçalves

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19 pages, 9 figures
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摘要：

本文在Brans-Dicke理论中研究了原初宇宙引力波的量子起源。我们计算了暴胀过程中产生的引力子$N_k$的个数和观测量：功率谱$P_T$、谱指数$n_T$和能量密度$Ω_k$。通过与广义相对论的比较，我们看到，对于粒子数$N_k$的情况，以及对于功率谱$P_T$和能量密度$Ω$的情况，只有当$ω<10$ .对于谱指数$n_T$，我们发现当Brans-Dicke耦合参数$ω$大于1时，谱指数近似于广义相对论中的表达式。这可能使我们意识到$ω$随宇宙尺度变化的可能性。

英文摘要：

We investigate the quantum origin of the primordial cosmological gravitational waves in the Brans-Dicke theory. We compute the number of gravitons $N_k$ produced during inflation and the observables: power spectrum $P_T$, spectral index $n_T$ and energy density $Ω_k$. By comparison with General Relativity we see that the results for both theories are the same for the case of the particles number $N_k$ and for the case of the power spectrum $P_T$ and the energy density $Ω$ only when $ω<10$. For the spectral index $n_T$ we found that when the Brans-Dicke coupling parameter $ω$ is bigger than unity the spectral index approximates the expression found in the General Relativity. This may awake us to the possibility that $ω$ varies with the cosmological scale.

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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