Why does mass bend spacetime in a single plane?

In summary, the general theory of relativity explains the bending of space and time. While pictures may show the bending in a certain way, it is only meant to serve as an analogy. The reason why planets spiral in a single plane is due to the conservation of angular momentum and the spherical symmetry of the curvature of space around the source. This symmetry means there is no force component away from the orbital plane, resulting in the planets remaining in the same orbital plane.
  • #1
neildownonme
6
0
well yeah i understand that in general theory of relativity is about bending of space time. but why does the bending of spacetime itself is not relative? i mean look at these photos,
why does spacetime was bended that way? why not sidewards? why not on top?
just want to know why. thanks :)
 

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  • #2
Welcome to PF!

Spacetime curves in all dimensions. Those pictures are meant to provide a visual analogy.

Here is a better image.
 
  • #3
neildownonme said:
why does spacetime was bended that way?

People make diagrams like that because they don't know how to make diagrams of curved four-dimensional spacetime on a two-dimensional sheet of paper (or computer screen). Do you? :wink:
 
  • #4
Mark M said:
Welcome to PF!

Spacetime curves in all dimensions. Those pictures are meant to provide a visual analogy.

oh wow that's really a better picture :)
but why do planets spiral in a single plane then?
 
  • #5
Beause of conservation of angular momentum. Deviation from a plane orbit in a two body system would imply a changing angular momentum of the system.
 
  • #6
espen180 said:
Beause of conservation of angular momentum. Deviation from a plane orbit in a two body system would imply a changing angular momentum of the system.

ahh, that all makes sense now. thanks a lot! :)
 
  • #7
neildownonme said:
[...]
but why do planets spiral in a single plane then?

The curvature of space (as part of the spacetime curvature) is spherically symmetric around the source.
Spherically symmetric: there is no force component away from the instantaneous orbital plane. So planets remain in the same orbital plane

The orbits being planar goes back to the (spherical) symmetry.
 

Related to Why does mass bend spacetime in a single plane?

1. What is the concept of mass bending spacetime?

The concept of mass bending spacetime refers to the idea that objects with mass, such as planets and stars, create a curve or dip in the fabric of space and time. This curve is caused by the mass of the object and affects the motion of other objects around it.

2. Why does mass bend spacetime in a single plane?

Mass bends spacetime in a single plane because of the way gravity works. According to Einstein's theory of general relativity, mass creates a curvature in spacetime, and the strength of this curvature is determined by the mass and the distance from the object. The curvature is strongest in the plane directly surrounding the mass, thus creating a single plane of bending.

3. How does mass affect the curvature of spacetime?

The more massive an object is, the greater its effect on the curvature of spacetime. This means that objects with larger masses, such as a planet or star, will create a stronger curvature in spacetime compared to smaller objects.

4. Can mass bend spacetime in multiple planes?

Yes, mass can bend spacetime in multiple planes. However, the degree of bending may vary in each plane depending on the distribution of mass and the distance from the object. In general, the bending will be strongest in the plane closest to the mass.

5. How does the bending of spacetime affect the motion of objects?

The bending of spacetime caused by mass affects the motion of objects by altering their trajectories. Objects will follow the curvature of spacetime created by the mass, resulting in a curved path rather than a straight one. This is what we observe as the force of gravity, which keeps objects in orbit around massive bodies like planets and stars.

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