标题： 物质主导反弹宇宙背景下各向异性对功率谱的印记作为背景 显示英文标题

标题： Imprints of Anisotropy on the Power Spectrum in Matter Dominated Bouncing Universe as Background

摘要： 本文旨在研究各向异性对以物质主导的坍缩宇宙为背景的标度不变功率谱的影响，并寻找偏离这种标度不变性的偏差。 在设定好这一背景后，我们考虑一个无质量的标量场，首先通过微扰方法计算关联性，其中各向异性背景用物质主导坍缩宇宙度规表示的有效各向同性度规近似；其次直接数值求解场方程，然后得到对于宇宙学感兴趣的模范围的功率谱。 利用这两种技术，我们得到了功率谱偏离标度不变性的上限。 我们还计算了更小模的功率谱，并探讨是否可以通过物质反弹场景解释CMB中的观测异常。 显示英文摘要

摘要： In this paper, we aim to investigate the effects of the anisotropy on the scale-invariant power spectrum considering the matter-dominated collapsing universe as background and look for the deviations from this scale invariance. Having set up this background, we consider a massless scalar field and work out the correlations, first by using the perturbative approach in which the anisotropic background is approximated with an effective isotropic metric represented by the metric of matter dominated collapsing universe, second by directly solving the field equation numerically, and then obtain the power spectrum for the range of modes which are of cosmological interest. Using both techniques, we get an upper bound on the deviation in the power spectrum from the scale invariance. We also work out the power spectrum for much smaller modes and look at whether it is possible to explain the observed anomalies in CMB via the matter bounce scenario.