What does a scale factor metric f(t)ημνdxμdxν mean physically?

[alejandrito29]

hello
i understand that in a flat space the metric is $$\eta_{uv}dx^udx^v$$...i know that this means that the light follows straight geodesic in this space time...

but ¿what would means that metric is $$f(t)\eta_{uv}dx^udx^v$$ where f(t)=infinite in t=0 and f(t)=0 in t=infinite...obvious i understand the matematics, but physically ¿what means?...for example..¿what means that in bing bang in t=0 f(t)= infinite?

 

[FrankPlanck]

hello
i understand that in a flat space the metric is $$\eta_{uv}dx^udx^v$$...i know that this means that the light follows straight geodesic in this space time...

but ¿what would means that metric is $$f(t)\eta_{uv}dx^udx^v$$ where f(t)=infinite in t=0 and f(t)=0 in t=infinite...obvious i understand the matematics, but physically ¿what means?...for example..¿what means that in bing bang in t=0 f(t)= infinite?

It sounds a little bit strange to me.
Anyway probably f(t=0)=infinite it's the Big Bang singularity, a point with infinite density (so the metric), but it's a very raw treatment.