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arXiv 2302.01338gr-qcastro-ph.CO
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D+1维标准宇宙学与膜宇宙学中的一般扰动再探讨

General perturbations in D+1 standard and brane cosmology revisited

Zoé Delfín, Rubén Cordero, Tonatiuh Matos, Miguel A. García-Aspeitia

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30 pages, accepted for publication in IJMPA
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AI总结：

本文将D+1维时空扰动理论推广到标量、矢量和张量扰动及牛顿与同步规范，并应用于任意截面曲率的膜宇宙学，可用于双同心膜模型和σ_{8}张力问题。

摘要：

在本工作中，我们将具有宇宙学常数的D+1维时空中的扰动理论进行了推广，研究了标量、矢量和张量扰动，以及其在牛顿规范和同步规范下的结构。我们还展示了膜宇宙学背景下的扰动理论，其中膜被嵌入到一组D个空间维度、一个时间维度和一个额外的空间维度中。在标准宇宙学和膜宇宙学中，未受扰动的时空都具有Friedmann-Lemaitre-Robertson-Walker度规和任意截面曲率，物质内容呈理想流体形式。此外，我们考虑了任意截面曲率，得到了牛顿规范和同步规范下相应的方程。我们强调，本文给出的结果可用于处理具有两个同心膜的膜宇宙学，或以膜世界方法应对σ_{8}张力。最后，作为本文所展示的全部技术的一个应用实例，我们展示了其在能量通量中的应用以及对膜世界框架的影响。

英文摘要：

In the present work, we generalize the theory of perturbations in a D + 1 dimensional space-time with cosmological constant, studying scalar, vector and tensor perturbations, as well as its structure in Newtonian and Synchronous gauge. We also show the theory of perturbations in the context of brane cosmology, where branes are embedded in a set of D-spatial dimensions, a temporal dimension, and an additional spatial dimension. In both, standard and brane cosmology an unperturbed spacetime is provided with a Friedmann-Lemaitre-Robertson-Walker metric and arbitrary sectional curvature, the matter content has the shape of a perfect fluid. In addition, we consider the arbitrary sectional curvature, obtaining the respective equations in the Newtonian and Synchronous gauge. We highlight that the results presented in this article can be used to treat brane cosmology with two concentric branes or tackle the σ_{8} tension with a braneworld approach. Finally, as an example of the utility of all the technology presented in this paper, we show an application to the energy ux and the repercussions in the framework of the brane-worlds.

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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