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arXiv 2007.06691gr-qc
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各向异性宇宙（Bianchi type--I）中引力波的功率谱

The Power Spectrum Of Gravitational Waves in Anisotropic Universe (\emph{Bianchi type--I})

Taimur Mohammadi, Behrooz Malekolkalami

备注：
8 pages, 3 figure. arXiv admin note: substantial text overlap with arXiv:1912.12474
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AI总结：

本文研究辐射主导时代原初引力波的谱能量密度，通过扰动各向同性与Bianchi type--I各向异性度规比较其功率谱，发现二者早期不同而现今重合。

摘要：

简单暴胀模型的预言之一是具有近尺度不变谱的随机引力波（GW）背景，或字面上称为原初引力波（PGW）。为讨论PGW可能的直接探测，所谓谱能量密度（SED）这一物理量具有关键作用。在本工作中，我们考虑在辐射主导（RD）时代产生的PGW，它们通过扰动各向同性和各向异性（Bianchi type--I）度规而生成，并重点关注由这些GW产生的SED。开展本研究是因为来自RD时期的GW功率谱是早期宇宙学中最重要的课题之一：此时期产生的GW能够为我们提供关于极高能过程和宇宙基本阶段（例如暴胀与相变）的直接信息。结果表明，早期宇宙中各向同性宇宙与各向异性宇宙的功率谱不同，但它们在当前时刻相重合。

英文摘要：

One of the predictions from simple inflation models is stochastic background of Gravitational Waves (\textbf{GW}), or literally what is called Primordial Gravitational Waves (\textbf{PGW}) with a nearly scale--invariant spectrum. To discuss a possible direct detection of PGW, the quantity so--called Spectral Energy Density (\textbf{SED}) has crucial role. In this work, we consider PGW produced in the Radiation-Dominate(\textbf{RD}) era and generated by perturbing the isotropic and Anisotropic (\emph{Bianchi type--I}) metrics and focusing on the SED generated by these GW. This study was done because the power spectrum of GW from the RD epoch is one of the most important topics in early cosmology, as GW produced during this period can provide us with direct information about very High Energies and fundamental phases of the universe (e.g. inflation and phase transition)The results show that the power spectrums in the early universe are diffetent for isotropic and anisotropic universe, but they coincide at the present time.

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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