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arXiv 1105.4411astro-ph.COgr-qchep-ph
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非线性宇宙学扰动的演化方程

Evolution Equation for Non-linear Cosmological Perturbations

Ram Brustein, Antonio Riotto

摘要:

我们提出了一种新的方法,完全基于引力势,研究非线性宇宙学物质扰动的演化。我们从微扰爱因斯坦方程出发,积分出宇宙流体的非相对论自由度,得到一个封闭的引力势方程。然后,我们验证了新方程的有效性,通过比较其近似解的非线性宇宙学扰动理论中的已知结果。首先,我们明确表明,我们的方程的微扰解匹配的标准微扰解。接下来,使用平均场近似的方程,我们表明,它的解决方案再现在一个简单的方式在小尺度上的非线性传播子的指数抑制由于速度色散。因此,我们的方法可以重现的主要特点的重整化微扰理论和(时间)重整化群方法的非线性宇宙学扰动的研究。最后,我们初步讨论了方程的完全解的性质及其意义。

英文摘要:

We present a novel approach, based entirely on the gravitational potential, for studying the evolution of non-linear cosmological matter perturbations. Starting from the perturbed Einstein equations, we integrate out the non-relativistic degrees of freedom of the cosmic fluid and obtain a single closed equation for the gravitational potential. We then verify the validity of the new equation by comparing its approximate solutions to known results in the theory of non-linear cosmological perturbations. First, we show explicitly that the perturbative solution of our equation matches the standard perturbative solutions. Next, using the mean field approximation to the equation, we show that its solution reproduces in a simple way the exponential suppression of the non-linear propagator on small scales due to the velocity dispersion. Our approach can therefore reproduce the main features of the renormalized perturbation theory and (time)-renormalization group approaches to the study of non-linear cosmological perturbations. We conclude by a preliminary discussion of the nature of the full solutions of the equation and their significance.

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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