Expansion of the Universe and the Limitations of Hubble's Law

In summary, according to Hubble's law, the velocity of recession of galaxies is directly proportional to the distance between them. This means that as the distance between galaxies increases, their recession velocity also increases. However, according to the theory of relativity, time dilation occurs as objects approach the speed of light, causing time to slow down. This means that as galaxies approach the speed of light, their recession velocity will slow down and eventually reach a point where their recession velocity is zero. This suggests that the universe will expand up to a certain distance, around 2.10^10 light years, before the galaxies start to slow down and eventually stop receding from the observer.
  • #1
.ultimate
45
0
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
 
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  • #2
.ultimate said:
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 [tex]v>c[/tex].Also if it were to be so you would get [tex]\gamma [/tex] as a complex number!
 
  • #3
I meant as v is almost equal to speed of light, will the recession of galaxies slow down? because t~0
 

1. What is Hubble's Law?

Hubble's Law is a fundamental principle in cosmology that states the farther away a galaxy is from us, the faster it appears to be moving. This law is based on the observation that galaxies are receding from each other at a rate directly proportional to their distance.

2. How does Hubble's Law support the theory of the expanding universe?

Hubble's Law is a key piece of evidence for the expanding universe theory. As galaxies move away from each other, the space between them is also expanding, leading to the observed phenomenon of the universe getting larger over time.

3. What is the relationship between Hubble's Law and the redshift of light?

Hubble's Law and the redshift of light are directly related. The redshift of light is a measure of how much the wavelength of light is stretched as it travels through expanding space. Hubble's Law states that this redshift will increase as the distance between galaxies increases.

4. How does general relativity explain the observations of Hubble's Law?

General relativity, developed by Albert Einstein, is a theory of gravity that describes the large-scale structure of the universe. It predicts that the expansion of the universe will cause light from distant galaxies to appear redshifted, in accordance with Hubble's Law.

5. Can Hubble's Law be used to determine the age of the universe?

Yes, Hubble's Law can be used to estimate the age of the universe. By measuring the rate of expansion using Hubble's Law and knowing the current size of the observable universe, scientists can estimate that the universe is approximately 13.8 billion years old.

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