结构生长的空间曲率特征
Signatures of Spatial Curvature on Growth of Structures
摘要：
我们在空间弯曲的FRW宇宙中写出了大质量粒子的Boltzmann方程，并求解了物质密度演化的近似视线解，包括空间曲率对一阶近似的影响。结果表明，空间曲率的存在会影响早期引力势的记忆。然后我们重新审视一般FRW背景下的光子波尔兹曼方程。使用它，我们展示了如何振荡的频率和阻尼因子（称为丝绸阻尼）的空间曲率的存在下发生变化。最后，在宇宙学扰动的流体力学区域中，利用修正的阻尼因子，得到了空间曲率对物质密度增长模式影响的解析解。
英文摘要：
We write down Boltzmann equation for massive particles in a spatially curved FRW universe and solve the approximate line-of-sight solution for evolution of matter density, including the effects of spatial curvature to the first order of approximation. It is shown that memory of early time gravitational potential is affected by presence of spatial curvature. Then we revisit Boltzmann equation for photons in the general FRW background. Using it, we show that how the frequency of oscillations and damping factor (known as Silk damping) changed in presence of spatial curvature. At last, using this modified damping factor in hydrodynamic regime of cosmological perturbations, we find our analytic solution which shows the effects of spatial curvature on growing mode of matter density.
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