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arXiv 2405.02470gr-qc
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存在宇宙弦时原初引力波的频谱

Spectrum of Primordial Gravitational Waves in Presence of a Cosmic String

S. Azar Ag Galeh, A. M. Abbassi, M. H. Abbassi

AI总结:

本文研究暴胀宇宙中沿z轴的长直宇宙弦对原初引力波频谱的影响,将宇宙弦作为FRW背景上的扰动处理,推导线性化爱因斯坦场方程,并在慢滚暴胀下求得解析解,揭示宇宙弦在张量扰动方程中作为非齐次项对原初引力波频谱的修正。

摘要:

在本文中,我们考虑一个沿z轴具有长直宇宙弦的暴胀宇宙。我们证明,宇宙弦的影响可以视为对FRW度规背景的扰动。然后,通过对这个暴胀宇宙弦背景进行宇宙学扰动,我们得到了线性化的爱因斯坦场方程。我们证明,在领头阶(忽略宇宙弦扰动与引力张量扰动的混合项)下,宇宙弦表现为张量扰动波动方程右端的一个非齐次项。随后,通过求解慢滚暴胀中波动方程的解析解,我们展示了宇宙弦如何影响原初引力波的频谱。

英文摘要:

In this paper we consider an inflating universe with long straight cosmic string along z-axis. We show that the effect of cosmic string can be taken as a perturbation on the background of FRW metric. Then by doing cosmological perturbations on this inflating cosmic string background, we find linearized Einstein field equations. We show that at leading order (ignoring the mixing terms of cosmic string perturbations with gravitational tensor perturbations), the cosmic string appears as an inhomogeneous term on the right hand side of wave equation of tensor perturbations . Then by finding analytical solution of the wave equation for slow-roll inflation, we show how it effects on the spectrum of primordial 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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