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PERTURBATIONS OF DARK MATTER GRAVITY

机译:黑暗物质引力的扰动

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Until recently the study of the gravitational field of dark matter was primarily concernedwith its local effects on the motion of stars in galaxies and galaxy clusters. On the otherhand, the WMAP experiment has shown that the gravitational field produced by darkmatter amplifies the higher acoustic modes of the CMBR power spectrum, more intenselythan the gravitational field of baryons. Such a wide range of experimental evidences fromcosmology to local gravity suggests the necessity of a comprehensive analysis of the darkmatter gravitational field per se, regardless of any other attributes that dark matter mayeventually possess.In this paper we introduce and apply Nash's theory of perturbative geometry to thestudy of the dark matter gravitational field alone, in a higher-dimensional framework.It is shown that the dark matter gravitational perturbations in the early universe canbe explained by the extrinsic curvature of the standard cosmology. Together with theestimated presence of massive neutrinos, such geometric perturbation is compatible notonly with the observed power spectrum in the WMAP experiment but also with themost recent data on the accelerated expansion of the universe.It is possible that the same structure formation exists locally, such as in the casesof young galaxies or in cluster collisions. In most other cases it seems to have ceasedwhen the extrinsic curvature becomes negligible, leading to Einstein's equations in fourdimensions. The slow motion of stars in galaxies and the motion of plasma substructuresin nearly colliding clusters are calculated with the geodesic equation for a slowly movingobject in a gravitational field of arbitrary strength.
机译:直到最近,对暗物质引力场的研究仍主要涉及其对星系和星系团中恒星运动的局部影响。另一方面,WMAP实验表明,暗物质产生的引力场比重子的引力场更强烈地放大了CMBR功率谱的较高声模。从宇宙学到局部引力的如此广泛的实验证据表明,必须对暗物质引力场本身进行全面分析,而与暗物质最终可能具有的其他任何属性无关。在本文中,我们将纳什的微扰几何理论引入并应用研究表明,早期宇宙中的暗物质引力场可以用标准宇宙学的外在曲率来解释。连同估计的大量中微子的存在,这样的几何扰动不仅与WMAP实验中观察到的功率谱兼容,而且与有关宇宙加速膨胀的最新数据兼容。可能相同的结构形成局部存在,例如在年轻星系或星团碰撞的情况下。在大多数其他情况下,当外在曲率变得可以忽略时,它似乎已经停止,从而导致了爱因斯坦方程的四维化。对于任意强度的引力场中的慢速运动物体,用测地线方程计算了星系中恒星的慢速运动和近碰撞星团中等离子体子结构的运动。

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