Can an Object Falling in Infinite Gravity Break the Speed of Light?

Click For Summary
An object falling in a gravitational field with an infinitely long radius cannot exceed the speed of light due to the principles of special relativity, which dictate that nothing can travel faster than light (c). Even with infinite acceleration, the energy required to reach light speed becomes infinite, making it impossible to achieve. The discussion emphasizes that "why" questions are not typically addressed by physics, which focuses on "how" things work. The Higgs mechanism, which provides mass to particles, does not change the fundamental limit imposed by the speed of light. Ultimately, the consensus is that no material object or energy can surpass this universal speed limit.
  • #31
mfb said:
4200 parsecs away is still within our galaxy, where expansion does not happen.

OOPS. My bad. Thanks for that correction. I can add, but I can't multiply :smile:


We can see objects 4,200 Mpc away, but only in a state how they looked like several billion years ago. The border where we will never be able to see their current state is somewhere at this distance. They don't freeze in spacetime, but our view on them will freeze.

Hm ... I don't follow. How does our view of them freeze? Wouldn't they just fade into darkness with greater and greater redshift?
 
Physics news on Phys.org
  • #32
I would expect them to freeze and redshift into darkness because;

Well for conservation of information i would expect them to act like an object falling into the black holes event horizon. Otherwise, that would raise many questions. Like Stephen Hawking did back then
 
  • #33
phinds said:
Hm ... I don't follow. How does our view of them freeze? Wouldn't they just fade into darkness with greater and greater redshift?
Into darkness, but also into slower evolution (as seen by us) due to the redshift. The effect is very similar to objects falling into black holes (as seen by outside observers), just on a completely different timescale.
 
  • #34
mfb said:
Into darkness, but also into slower evolution (as seen by us) due to the redshift. The effect is very similar to objects falling into black holes (as seen by outside observers), just on a completely different timescale.

OK, that I understand. I think the fading to darkness would occur before the "freezing" got too severe, but I guess you could say that depends on the sensitivity of the instruments "seeing" the objects.
 
  • #35
henrywang said:
If a a object is falling in a gravity field with infinitly long radius. can it eventually travel faster than the speed of light?

No, the coordinate speed of a test probe falling from infinity is:

v=c(1-\frac{r_s}{r}) \sqrt{\frac{r_s}{r}} for r>r_s

where r_s is the Schwarzschild radius of the "attracting" gravitational mass and r is the radial Schwarzschild coordinate. So, v<c for all r>r_s.

If the test probe is dropped from r_0 the formula becomes:

v=c(1-\frac{r_s}{r}) \sqrt{\frac{r_s}{r}-\frac{r_s}{r_0}} for r_0>r>r_s

For light, the coordinate speed is:

v=c(1-\frac{r_s}{r})
 
Last edited:

Similar threads

  • · Replies 51 ·
2
Replies
51
Views
4K
Replies
13
Views
1K
  • · Replies 93 ·
4
Replies
93
Views
5K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
1K
  • · Replies 22 ·
Replies
22
Views
856
  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
130
Views
14K