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0 votes
1 answer
591 views

What is the definition of the "characteristic radius"?

Upon solving exercises regarding relativity, I have run into the problem below. The inverse square radius of curvature of spacetime is of orer the tidal field, $R^{-2} \approx \nabla^2 \phi$ where $\...
Keith's user avatar
  • 1,669
3 votes
1 answer
342 views

Is this geometric argument enough to show that special relativity assumes flat spacetime?

I am preparing myself to teach a class about special relativity a few weeks from now. To make sure they'll understand that spacetime must be flat for special relativity to work, I came up with the ...
João Vítor G. Lima's user avatar
-1 votes
1 answer
73 views

Does the space and time wraping depends on the relative velocity of frame of reference? [closed]

why i am asking this question is that, i thought that photon takes no time to reach the earth or any other place in the universe due to length contraction. the reason for this is space wraps completly ...
tharuneswar's user avatar
0 votes
2 answers
319 views

Doubt-Schild's argument about spacetime curvature

Reading MTW Gravitation book, to me is unclear the point related to the Schild's argument about spacetime curvature. It is basically the following: Consider two observers at rest in the gravitational ...
Carlo C's user avatar
2 votes
1 answer
1k views

How does density relate to the curvature of space time in this scenario?

Assume there is a spaceship floating between two much larger and more massive spherical bodies m1 and m2. The two bodies m1 and m2 have equivalent mass, while the body m1 is much more dense than m2. ...
BrandonP's user avatar
1 vote
2 answers
106 views

Can we tell that we're in a flat space time? Or just in reference to other objects?

If you are sitting in space, far from any planet or large gravitational object, can you be sure that you're in a flat spacetime? Is it possible that some very distant object is heavily warping ...
speedplane's user avatar
1 vote
1 answer
488 views

Which curvilinear coordinate systems can I use to describe flat space-time?

Can I use a coordinate system that has an intrinsic curvature to describe a flat space (such as Minkowski space)? Say, for example, I wanted to provide coordinates for an infinite flat plane (${E}^{2}...
Geoffrey Bryan's user avatar
0 votes
0 answers
173 views

Confusion in Special Relativity: Rotating frame of reference

Suppose we are observing a rotating frame from an inertial frame, free from gravity, and try to measure the circumference of a circle drawn in the rotating frame. Since our measuring rod would be ...
sarthak's user avatar
  • 112
0 votes
1 answer
90 views

Can everything be described without anything needing to actually "bend"? [closed]

Is space bending because gravity actually causes small particles to move differently? If large source of gravity is somewhere are particles extending towards it, creating a "bend" in space? So "bend" ...
Henrik Mikkonen's user avatar
5 votes
1 answer
396 views

How does Spacetime Curvature increase the velocity of particles falling towards the earth?

Two particles fall side by side, towards the earth. The horizontal distance between them is 10m. As they advance nearer and nearer to the earth's surface, the horizontal distance decreases, from 10m ...
Black Dagger's user avatar
  • 1,283
-12 votes
1 answer
931 views

Why are we talking about space curvature as if we know what space is? [closed]

1) Why are we talking about space curvature as if we know what space is? Every question about gravity seems to evoke an answer involving "space curvature" which seems like an undefined placeholder ...
Thomas An's user avatar
  • 137