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arXiv 1111.5045astro-ph.CO
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Brans-Dicke理论中引力波的观测约束：Einstein框架和Jordan-Brans-Dicke框架

Observational constraints of the gravitational waves in the Brans-Dicke theory: Einstein frame and Jordan-Brans-Dicke frame

R. C. Freitas, S. V. B. Gonçalves

备注：
23 pages, 9 figures. arXiv admin note: substantial text overlap with arXiv:1102.0995
发表信息：
Physics Letters B 703 (2011) 209-216
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摘要：

本文在两个共形相关的框架下，研究了Brans-Dicke理论中原初宇宙引力波的量子起源.我们计算了这两种框架下的理论观测值，并将两者与广义相对论进行了比较。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$Ω_k$。结果表明，对于粒子数为$N_k$的情况，当Brans-Dicke参数远大于1时，两种坐标系和广义相对论的结果是一致的。对于谱指数$n_T$，我们证明了当$ω\rightarrow\infty$和$ω\rightarrow\pm\infty$分别在Jordan-Brans-Dicke标架和Einstein标架中得到标度不变扰动是可能的.在这两个帧中，功率谱$P_T$和能量密度$Ω$的结果表明，$ω$的优选值与在局部测试中发现的值不同。

英文摘要：

We investigate the quantum origin of the primordial cosmological gravitational waves in the Brans-Dicke theory in the two conformally related frames, the Jordan-Brans-Dicke frame and the Einstein frame. We calculated the theoretical observable in both frames and we compared both with General Relativity. 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 $Ω_k$. The comparison shows that for the case of the particles number $N_k$ the results are the same in both frames and in General Relativity when the Brans-Dicke parameter is much bigger than unity. For the spectral index $n_T$ we show that it is possible to get a scale invariant perturbation in the Jordan-Brans-Dicke frame when $ω\rightarrow\infty$ and in the Einstein frame when $ω\rightarrow\pm\infty$. In both frames, the results found for the power spectrum $P_T$ and the energy density $Ω$ show that the prefered values of $ω$ are diferente from that that are found in the local tests.

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