Special relativity and Universe expansion.

mprm86
Messages
52
Reaction score
0
I have heard that the Universe is expanding, and the longer is the distance between two bodies, so the greater will be the speed of expansion. So, my question is: If two bodies were far enough, so tehy could reach c or even go faster? (i guess there is no limit for Universe expansion). I know I´m not a genius, and i haven't discovered some paradox or somewhat, so, help me please and explain me what really happens. Thanks. :-p
 
Physics news on Phys.org
Hi, bienvenido
don't mix the concepts Special Relativity and Universe expansion, because Special Relativity is a theory that has as foreground a Minkowski space, that is a non-expanding space. The expansion can be modeled with General Relativity, that has Special Relativity as a special case. In GR, there are objects receding faster than c, because with Hubble Law
v=H*D
where D is proper distance, H the Hubble parameter, you can obtain recession velocities v greater than c. But there's no paradox because in the frame of reference of the observer there's no superluminal velocity observed. They are receding with spacetime, but their peculiar velocity inside spacetime remains subluminal
 
mprm86 said:
i guess there is no limit for Universe expansion Thanks. :-p
I think there is some thing wrong with that.
There are 3 versions of the expansion of the Universe according to Friedmann.1 of them states that we begin with Big BAng and finish with Big Crunch.Therefore, we definitely have the limit of the expansion(if the theory is right.)
 
Picture it this way: A 2d world on an expanding sphere.

According to any person on that world, everything else is getting farther away. Someone who starts off moving at 5 kph relative away from some other person, and doesn't accelerate afterwards, will observer the relative speed as actually increasing! (at least until they went all the way around the sphere and were actually moving towards)
 
OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...
So, to calculate a proper time of a worldline in SR using an inertial frame is quite easy. But I struggled a bit using a "rotating frame metric" and now I'm not sure whether I'll do it right. Couls someone point me in the right direction? "What have you tried?" Well, trying to help truly absolute layppl with some variation of a "Circular Twin Paradox" not using an inertial frame of reference for whatevere reason. I thought it would be a bit of a challenge so I made a derivation or...
Back
Top