Are we moving away or towards each other? There are numerous theories about the shape of the Universe. I've read somewhere most probably in 'A Brief History of Time' that there is a possibility that the Universe is spherical. So is it possible that all galaxies are moving towards each other? Imagine the Universe as a sphere. Now, imagine a diameter AB. The Big Bang took place at A and the galaxies started drifting away and as they moved away further they stared attracting each other on the other side i.e.Gravitational attraction. So we feel that the farther galaxies are the faster they are moving away(Hubble's Law) but actually they are moving towards each other and will eventually meet at point B. Also, space-time is spherical and so light travels along the sphere.

So, my question is: Is it possible for the universe to be spherical with galaxies apparently moving away but actually moving closer?
At the present time this doesn't hold for the observable universe, since the observable universe is only a tiny fraction of the surface of the 3-sphere (assumed it's a sphere at all). The observable universe is flat within a 0.4% error.

Based on this, we are moving away from each other. And the universe is expanding. So even if it would be curved, we would move away from each other. Only in a future Big Crunch scenario, we would eventually move towards each other.

Finite flat cyclic spaces can be constructed, but there is no significant hint, that the universe is of such a shape, or any other non-trivial topology.