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arXiv 1310.8601astro-ph.COgr-qchep-ph
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宇宙学标量场暗物质的非相对论方法

Non-relativistic approach for cosmological Scalar Field Dark Matter

L. Arturo Urena-Lopez

摘要:

本文导出了对应于具有二次标量势的复标量场的标量场暗物质(SFDM)模型中宇宙结构形成的非相对论运动方程。从牛顿标量扰动规范中的完整运动方程开始,我们将所涉及的场分为相对论性和非相对论性部分,并找到后者的运动方程,可以用来建立完整的解。一个重要的假设是,SFDM场处于快速振荡状态,在这种状态下,它的行为与冷暗物质的行为完全相同。由此产生的方程与牛顿玻色子星加上相对论剩余物的薛定谔-泊松系统非常相似。我们利用这种相似性来展示如何以最小的数值努力模拟SFDM模型和其他类似模型中宇宙结构的形成,并最终证明它们作为完整的暗物质模型的可行性。

英文摘要:

We derive non-relativistic equations of motion for the formation of cosmological structure in a Scalar Field Dark Matter (SFDM) model corresponding to a complex scalar field endowed with a quadratic scalar potential. Starting with the full equations of motion written in the Newtonian gauge of scalar perturbations, we separate out the fields involved into relativistic and non-relativistic parts, and find the equations of motion for the latter that can be used to build up the full solution. One important assumption will also be that the SFDM field is in the regime of fast oscillations, under which its behavior is exactly that of cold dark matter. The resultant equations are quite similar to the Schrödinger-Poisson system of Newtonian boson stars plus relativistic leftovers. We exploit that similarity to show how to simulate, with minimum numerical effort, the formation of cosmological structure in SFDM models and others alike, and ultimately prove their viability as complete dark matter models.

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