论文标题
空间曲率关于结构生长的特征
Signatures of Spatial Curvature on Growth of Structures
论文作者
论文摘要
我们写下了在空间弯曲的FRW宇宙中的巨大颗粒的玻尔兹曼方程，并求解了物质密度的演化的近似视线解决方案，包括空间曲率对近似值的一阶影响。结果表明，早期引力电位的记忆受到空间曲率的存在的影响。然后，我们在一般FRW背景中重新访问光子的玻尔兹曼方程。使用它，我们表明振荡和阻尼因子（称为丝绸阻尼）的频率在存在空间曲率的情况下会发生变化。最后，使用这种修饰的阻尼因子在宇宙学扰动的流体动力学方面，我们找到了我们的分析解决方案，该解决方案显示了空间曲率对生长密度增长模式的影响。
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.
