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" ... (If you’re curious, there’s an on-the-border case: an empty Universe, where only curvature determines the expansion. In this Universe, the other galaxy gets farther away, but its recession speed would remain constant.) ... "
" ... Exponential expansion, which takes place during inflation, is so powerful because it is relentless. ... [+] With every ~10^-35 seconds (or so) that passes, the volume of any particular region of space doubles in each direction, causing any particles or radiation to dilute and causing any curvature to quickly become indistinguishable from flat. ... "
" ... Instead of an empty, blank, three-dimensional grid, putting a mass down causes what would have been ... [+] 'straight' lines to instead become curved by a specific amount. The curvature of space due to the gravitational effects of Earth is one visualization of gravitation, and is a fundamental way that General Relativity differs from Special Relativity. ... "
" ... The curvature of space, as induced by the planets and Sun in our Solar System, must be taken into... [+] account for any observations that a spacecraft or other observatory would make. General Relativity's effects, even the subtle ones, cannot be ignored in applications ranging from space exploration to GPS satellites to a light signal passing near the Sun. ... "
" ... Visualization of a quantum field theory calculation showing virtual particles in the quantum vacuum.... [+] (Specifically, for the strong interactions.) Even in empty space, this vacuum energy is non-zero, and what appears to be the 'ground state' in one region of curved space will look different from the perspective of an observer where the spatial curvature differs. As long as quantum fields are present, this vacuum energy (or a cosmological constant) must be present, too. ... "