Hubbles law and Relativity

[.ultimate]

According to Hubble's law, Velocity of recession of galaxies is directily proportinal to distance between them

ie v=H0.r

But, according to theory of relativity

Time diliation

t=t0.(underoot 1-v^2/c^2)

as v->c

t=0

That means the universe will expand upto a certain distance ( if the law hold correct) i.e 2.10^10 l.y

After that the galaxies will slow down to the observer

as

 

[anantchowdhary]

But, according to theory of relativity

Time diliation

t=t0.(underoot 1-v^2/c^2)

as v->c

t=0

Here i don't think its possible that $$v>c$$.Also if it were to be so you would get $$\gamma$$ as a complex number!

 

[.ultimate]

I meant as v is almost equal to speed of light, will the recession of galaxies slow down? because t~0