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arXiv 2210.16014astro-ph.CO
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动力学场论:替代引力理论对非线性宇宙密度涨落的一般效应

Kinetic field theory: generic effects of alternative gravity theories on non-linear cosmic density-fluctuations

Alexander Oestreicher, Lodovico Capuano, Sabino Matarrese, Lavinia Heisenberg, Matthias Bartelmann

AI总结:

本文利用 KFT 平均场近似,推导非线性宇宙密度功率谱对背景膨胀函数与引力耦合强度的一阶泛函 Taylor 展开,以统一分析替代引力理论的效应。

摘要:

非线性宇宙结构包含有关背景时空膨胀历史、暗物质本质以及引力相互作用的宝贵信息。近期发展的宇宙结构形成动力学场论(KFT)能够在红移为零时精确计算波数高达 $k\lesssim10\\,h\\,\mathrm{Mpc}^{-1}$ 的宇宙密度涨落非线性功率谱。宇宙学和引力通过两个函数进入这一计算,即背景膨胀函数以及引力耦合强度可能具有的时间依赖修正。基于广义相对论的宇宙学标准模型的成功表明,广义引力理论中的宇宙学模型所产生的可观测效应应与标准宇宙学中的效应仅有微弱差异。基于这一假设,我们针对 KFT 中由平均场近似得到的宇宙密度涨落非线性功率谱,依据膨胀函数和引力耦合强度导出了泛函的一阶 Taylor 展开。这使我们能够研究在大类广义引力理论中预期的非线性功率谱。作为一个例子,我们将该形式体系应用于广义 Proca 理论。

英文摘要:

Non-linear cosmic structures contain valuable information on the expansion history of the background space-time, the nature of dark matter, and the gravitational interaction. The recently developed kinetic field theory of cosmic structure formation (KFT) allows to accurately calculate the non-linear power spectrum of cosmic density fluctuations up to wave numbers of $k\lesssim10\,h\,\mathrm{Mpc}^{-1}$ at redshift zero. Cosmology and gravity enter this calculation via two functions, viz. the background expansion function and possibly a time-dependent modification of the gravitational coupling strength. The success of the cosmological standard model based on general relativity suggests that cosmological models in generalized theories of gravity should have observable effects differing only weakly from those in standard cosmology. Based on this assumption, we derive the functional, first-order Taylor expansion of the non-linear power spectrum of cosmic density fluctuations obtained from the mean-field approximation in KFT in terms of the expansion function and the gravitational coupling strength. This allows us to study non-linear power spectra expected in large classes of generalized gravity theories. To give one example, we apply our formalism to generalized Proca theories.

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