论文标题
特殊的不均匀性速度对空间弯曲宇宙中重力潜力形状的影响
Effect of peculiar velocities of inhomogeneities on the shape of gravitational potential in spatially curved universe
论文作者
论文摘要
我们研究了不均匀性的特殊速度和宇宙的空间曲率对引力电位形状的影响。为此，我们考虑了FLRW指标的标量扰动。重力电势满足了从线性化的爱因斯坦方程系统中遵循的Helmholtz型方程。在宇宙常数的情况下，我们在开放和封闭的宇宙的情况下获得了该方程的分析解，充满了冷暗物质。我们证明，首先，特殊的速度显着影响重力相互作用的筛选长度，其次，重力电位的形式取决于空间曲率的符号。
We investigate the effect of peculiar velocities of inhomogeneities and the spatial curvature of the universe on the shape of the gravitational potential. To this end, we consider scalar perturbations of the FLRW metric. The gravitational potential satisfies a Helmholtz-type equation which follows from the system of linearized Einstein equations. We obtain analytical solutions of this equation in the cases of open and closed universes, filled with cold dark matter in presence of the cosmological constant. We demonstrate that, first, peculiar velocities significantly affect the screening length of the gravitational interaction and, second, the form of the gravitational potential depends on the sign of the spatial curvature.
