Why does mass bend spacetime in a single plane?

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Discussion Overview

The discussion revolves around the nature of spacetime curvature in the context of general relativity, specifically questioning why spacetime appears to bend in a certain way and why planetary orbits are confined to a single plane. The scope includes conceptual clarifications and technical explanations related to spacetime and orbital mechanics.

Discussion Character

  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why spacetime bending is not perceived as relative and why it appears to bend in a specific direction rather than in multiple dimensions.
  • Another participant suggests that visual representations of spacetime curvature are limited by the two-dimensional nature of diagrams, implying that true spacetime curvature exists in four dimensions.
  • There is a discussion about why planets spiral in a single plane, with one participant attributing this to the conservation of angular momentum.
  • Another participant elaborates that the curvature of space is spherically symmetric around a mass, which results in no force component away from the instantaneous orbital plane, thus keeping planets in the same orbital plane.

Areas of Agreement / Disagreement

Participants express differing views on the nature of spacetime curvature and its representation, with some agreeing on the role of angular momentum in planetary orbits while others explore the implications of spacetime symmetry. The discussion remains unresolved regarding the initial question about the nature of spacetime bending.

Contextual Notes

Limitations include the challenge of accurately representing four-dimensional spacetime in two-dimensional diagrams and the assumptions related to angular momentum conservation in orbital mechanics.

neildownonme
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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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Welcome to PF!

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

Here is a better image.
 
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:
 
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?
 
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.
 
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! :)
 
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.
 

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