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arXiv 2304.03067gr-qc
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远平行引力中原初引力波的产生

Production of Primordial Gravitational Waves in Teleparallel Gravity

Geovanny A. Rave-Franco, Celia Escamilla-Rivera, Jackson Levi Said

AI总结:

该研究在扩展远平行引力框架下,分析两种暴胀背景中真空涨落、张量各向异性两类源产生的原初引力波,对比广义相对论结果,推导通解并研究其能量密度与谱特征。

摘要:

我们在扩展远平行引力模型的框架下研究原初引力波的产生,并将其与广义相对论的结果进行对比。远平行引力在晚期宇宙的语境下已得到广泛研究,但针对早期宇宙的研究尚不多见。我们考虑了两种原初引力波源:真空涨落与张量各向异性,研究在两种与暴胀相容的背景下开展:完全德西特(de Sitter)背景和准德西特背景。我们发现,在完全德西特背景的真空情形下,引力波的传播方程与广义相对论中的方程一致;但当背景为准德西特背景时,传播方程存在差异,进而导致张量谱指数出现显著差别。当纳入张量各向异性时,我们借助推迟格林函数推导了引力波的最一般解,并分析了这些各向异性对功率谱的贡献。最后,我们探究了这些引力波的能量密度。

英文摘要:

We study the production of primordial gravitational waves in the context of extended teleparallel gravity models and compare them with those of general relativity. Teleparallel gravity has been widely studied in the context of the late universe but not much in the early universe. Two sources of primordial gravitational waves are considered, vacuum fluctuations and tensor anisotropies within two inflation-compatible backgrounds: a perfect de Sitter and a quasi de Sitter background. We find that in the vacuum case with a perfect de Sitter background, the gravitational waves propagation equation is the same as that of general relativity, however, if the background is promoted to a quasi de Sitter background, the propagation equations are different resulting in an important difference on the tensor spectral index. When tensor anisotropies are included, we compute the most general solution for gravitational waves in terms of a retarded Green's function and analyze the contributions to the power spectrum from these anisotropies. Finally, we investigate the energy density of these gravitational waves.

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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