In the early moments after the big bang, the metric of the universe expanded much faster than the speed of light increasing it's size way above the c x t linear

In the early moments after the big bang, the metric of the universe expanded much faster than the speed of light increasing it's size way above the c x t linearity. This doesn't violate relativity though, since what is expanding is the length of the spacial dimensions, but the particles between themselves are moving slower than the speed of light (imagine 2 points in the surface of a balloon when the ballon is inflating).