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Cosmological Density Perturbations from Matter Domination to Recombination in Newtonian and MONDian Gravity Scenarios
Gravitation and Cosmology ( IF 0.9 ) Pub Date : 2020-09-21 , DOI: 10.1134/s020228932003007x
Aritra Ganguly , Amitava Choudhuri

Abstract

Cosmological density perturbations governed by Newtonian and MONDian force laws scenarios for the period from matter domination to recombination have been investigated. Particularly, we find solutions for the density contrast equations obtained for both cases with respect to a homogeneous spatially flat Friedman-Lemaître-Robertson-Walker (FLRW) background using the Lie symmetry approach. Numerical solutions of the density contrast equations for both cases also have been provided in order to study the evolution of the density contrast. For the Newtonian case we find a limiting mass that dictates whether the growth of the density contrast is possible or not. Interestingly, in the Newtonian case, physical growth of the density contrast is not possible since the horizon mass is smaller than the limiting mass. On the other hand, growth of the density contrast is possible depending on the initial condition and the fluctuation mass of the MOND-dominated region despite the radiation pressure that leads to future structure formation.



中文翻译:

牛顿和蒙顿重力情景中从物质支配到复合的宇宙密度扰动

摘要

研究了从物质支配到复合的牛顿和蒙德力定律场景所控制的宇宙密度扰动。特别是,我们找到了使用李对称方法针对两种情况下均质空间平坦Friedman-Lemaître-Robertson-Walker(FLRW)背景获得的密度对比方程的解决方案。还提供了两种情况下密度对比方程的数值解,以研究密度对比的演变。对于牛顿的情况,我们发现了一个极限质量,该质量决定了密度对比的增大是否可能。有趣的是,在牛顿的情况下,密度密度的物理增长是不可能的,因为水平质量小于极限质量。另一方面,

更新日期:2020-09-21
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