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arXiv 2004.13051gr-qcastro-ph.CO
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所有尺度上的宇宙学引力:简单方程、必要条件和修正引力的框架

Cosmological gravity on all scales: simple equations, required conditions, and a framework for modified gravity

Daniel B Thomas

摘要:

引力的宇宙学现象学通常在两个极限下进行研究:相对论微扰理论(大尺度)和牛顿引力(小尺度、非线性尺度)。传统的模型无关修正引力方法是基于微扰理论,因此不适用于非线性尺度。未来的调查,如欧几里德将产生大量的数据在线性和非线性尺度,因此需要一种新的方法来约束模型无关的修改重力,同时使用所有的数据,从这些调查。我们使用高阶方程从后弗里德曼方法来推导出一组“简单的1PF”(第一后弗里德曼)方程,适用于小规模和大规模的限制,我们检查所需的条件,没有中间制度,这意味着这些简单的方程是有效的所有规模。我们演示了如何简单的1PF方程推导出这里可以作为一个模型独立的框架,适用于所有宇宙尺度的修改后的重力,我们提出了一个算法,以确定哪些修改后的重力理论下,这种方法被归入。这种修改后的引力框架为现象学N体模拟提供了一种严格的方法,并为一致地使用即将到来的调查的所有数据以独立于模型的方式约束修改后的引力铺平了道路。

英文摘要:

The cosmological phenomenology of gravity is typically studied in two limits: relativistic perturbation theory (on large scales) and Newtonian gravity (required for smaller, non-linear, scales). Traditional approaches to model-independent modified gravity are based on perturbation theory, so do not apply on non-linear scales. Future surveys such as Euclid will produce significant data on both linear and non-linear scales, so a new approach is required to constrain model-independent modified gravity by simultaneously using all of the data from these surveys. We use the higher order equations from the post-Friedmann approach to derive a single set of "simple 1PF" (first post-Friedmann) equations that apply in both the small scale and large scale limits, and we examine the required conditions for there to be no intermediate regime, meaning that these simple equations are valid on all scales. We demonstrate how the simple 1PF equations derived here can be used as a model-independent framework for modified gravity that applies on all cosmological scales, and we present an algorithm for determining which modified gravity theories are subsumed under this approach. This modified gravity framework provides a rigorous approach to phenomenological N-body simulations, and paves the way to consistently using all of the data from upcoming surveys to constrain modified gravity in a model-independent fashion.

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