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3 votes
2 answers
149 views

Does spacetime bending contradict the universe following euclidean geometry?

According to experiments the universe is believed to be flat, meaning that it would follow euclidean geometry. However, is that compatible with the fact that spacetime bends due to gravity? Does ...
Guille's user avatar
  • 31
1 vote
2 answers
227 views

Cosmology - Confusion About Visualising the Universe as the Surface of a 3-Sphere

Consider the FRW metric for the Universe in the form found in many standard cosmology textbooks: $$ds^2 = -dt^2 + a(t)^2\left(\frac{dr^2}{1-Kr^2}+r^2(d\theta^2 + \sin^2\theta d\phi^2)\right)$$ I am ...
wrb98's user avatar
  • 201
6 votes
3 answers
783 views

How do we know that the space metric is expanding as opposed to objects moving relative to one another?

So we observe that the Universe is expanding. We observe galaxies moving away from us and the speed/red-shift is greater for galaxies that are further away. How do we know that this observation is ...
doc's user avatar
  • 163
1 vote
1 answer
63 views

The description of a universe with one or two objects

I understand that in general relativity, we describe the universe by the relationship between objects "in it". I quote "in it" because in this model, there is no background where the objects exist. ...
Chegon's user avatar
  • 1,171
2 votes
3 answers
303 views

Understanding expansion of the universe

I'm having problems to understand "graphically" what is the expansion of the universe. Does it mean that if now we have two points A and B separated by 1 meter, in a future those points will be ...
Enrique's user avatar
  • 241
1 vote
2 answers
540 views

Trouble understanding spacetime and invariant interval

First, how is the invariant interval useful? How can it help us understand things around us in the universe? Second, I know that they changed time into space or better say SPACETIME in order to ...
Omar Ali's user avatar
  • 736
22 votes
3 answers
9k views

What is meant when it is said that the universe is homogeneous and isotropic?

It is sometimes said that the universe is homogeneous and isotropic. What is meant by each of these descriptions? Are they mutually exclusive, or does one require the other? And what implications rise ...
voithos's user avatar
  • 3,439