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arXiv 0711.3124astro-ph
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暗能量与结构形成:连接银河系与宇宙学长度尺度

Dark Energy and Structure Formation: Connecting the Galactic and Cosmological Length Scales

A. D. Speliotopoulos

摘要:

在宇宙学长度尺度上,WMAP最近的测量已经验证了$Λ$ CDM的精确度在宇宙学中是前所未有的。然而,在星系长度尺度上情况并非如此,“尖核”问题表明我们对结构形成缺乏了解。在这里,我们提出了一个解决“尖核”问题的基础上,观察到,随着暗能量,$Λ_{DE}$的发现,现在有一个通用的长度尺度,$λ_{DE}=c/(Λ_{DE} G)^{1/2}$,与宇宙。这种长度尺度允许扩展测地线运动方程,只影响有质量的测试粒子的运动;无质量的测试粒子的运动不受影响,引力透镜等现象保持不变。导出了密度分布的演化方程,并构造了密度分布的有效自由能密度泛函。我们推测,伪等温的配置文件是首选的尖状配置文件,因为它具有较低的有效自由能。利用观测到的1393个旋涡星系的自转速度和核心大小对该理论进行了宇宙学检验。我们将$σ_8$计算为$0.68_{\pm0.11}$ ;这在WMAP值$0.761_{-0.048}^{+0.049}$的实验误差范围内。然后我们计算了$R_{200}=270_{\pm 130}$ kpc,这与观测结果一致。我们估计不能通过重力确定的物质的分数密度为$0.197_{\pm 0.017}$ ;这几乎等于非重子物质$0.196^{+0.025}_{-0.026}$的分数密度的WMAP值。可以通过重力确定的物质的分数密度计算为$0.041_{-0.031}^{+0.030}$ ;这几乎等于$Ω_B=0.0416_{-0.0039}^{+0.0038}$。

英文摘要:

On the cosmological length scale, recent measurements by WMAP have validated $Λ$CDM to a precision not see before in cosmology. Such is not the case on galactic length scales, however, where the `cuspy-core' problem has demonstrated our lack of understanding of structure formation. Here, we propose a solution to the 'cuspy-core' problem based on the observation that with the discovery of Dark Energy, $Λ_{DE}$, there is now a universal length scale, $λ_{DE}=c/(Λ_{DE} G)^{1/2}$, associated with the universe. This length scale allows for an extension of the geodesic equations of motion that affects only the motion of massive test particles; the motion of massless test particles are not affected, and such phenomenon as gravitational lensing remain unchanged. An evolution equation for the density profile is derived, and an effective free energy density functional for it is constructed. We conjecture that the pseudoisothermal profile is preferred over the cusp-like profile because it has a lower effective free energy. A cosmological check of the theory is made using the observed rotational velocities and core sizes of 1393 spiral galaxies. We calculate $σ_8$ to be $0.68_{\pm0.11}$; this is within experimental error of the WMAP value $0.761_{-0.048}^{+0.049}$. We then calculate $R_{200}=270_{\pm 130}$ kpc, which is in agreement with observations. We estimate the fractional density of matter that cannot be determined through gravity to be $0.197_{\pm 0.017}$; this is nearly equal to the WMAP value for the fractional density of nonbaryonic matter $0.196^{+0.025}_{-0.026}$. The fractional density of matter that can be determined through gravity is then calculated to be $0.041_{-0.031}^{+0.030}$; this is nearly equal to $Ω_B=0.0416_{-0.0039}^{+0.0038}$.

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