GR/SR Space-Time: Explaining Gravitation and its Geodesics

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SUMMARY

The discussion focuses on the concept of gravitation within General Relativity (GR) and Special Relativity (SR), specifically addressing why space-time bends around massive objects and how this bending influences the movement of lesser objects. The analogy of a rubber sheet is critiqued for misrepresenting the relationship between curved space and curved space-time. Participants emphasize that curved space-time serves as a model to explain gravitational effects, and further exploration of the principles of equivalence and general relativity is encouraged.

PREREQUISITES
  • Understanding of General Relativity (GR) and Special Relativity (SR)
  • Familiarity with the concept of geodesics in space-time
  • Knowledge of the rubber sheet analogy in physics
  • Basic principles of gravitational interaction
NEXT STEPS
  • Explore the principles of equivalence in General Relativity
  • Study the mathematical formulation of geodesics in curved space-time
  • Investigate the differences between curved space and curved space-time
  • Review advanced resources on gravitational effects in zero-G environments
USEFUL FOR

Students of physics, educators in relativity, and anyone interested in the fundamental concepts of gravitation and space-time dynamics.

Michamus
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Hello everyone,
I am a self taught (dare I say Physicist?). I have been struggling with a specific concept of GR/SR. This concept is "Gravitation" and it's explanation. As I understand it, classic Newtonian gravity in which mass attracts to other mass is not technically correct. There are "geodesics" in space-time that objects of mass follow. I have two questions in reference to this concept.
1) Why does space-time even bend for massive objects? In Illustration 1a I have provided my conceptualization of the "Rubber sheet" of space time.
[View 1a]
GR-Spacetime-nobend.jpg


This is what I would initially view the rubber sheet as. Now the trouble I am having is why would the sheet bend? What compels the massive objects to bend this sheet?


2)In the event that space-time does bend (perhaps as volume displacement?) why would a lesser object (B) be compelled to move toward the more massive object (A) given a scenario in which Object B has no momentum (velocity)?

[View 2a] [/color]
GR-Spacetime.jpg

As I understand it, in a zero-G environment neither object would move regardless of the curve in the rubber sheet. What makes space-time different?


I look forward to your replies as these are questions I have never had properly satisfied.
 
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Michamus said:
1) Why does space-time even bend for massive objects?
Curved spacetime is just a model to describe how massive objects affect their surroundings. The why-question cannot be answered without creating the next why-question.

Michamus said:
2)In the event that space-time does bend (perhaps as volume displacement?) why would a lesser object (B) be compelled to move toward the more massive object (A) given a scenario in which Object B has no momentum (velocity)?
Very well observed :smile:. The very popular marbles-rolling-on-a-rubber-sheet-analogy is misleading, because the rubber sheet represents curved space not curved spacetime. To understand the difference look here:
http://www.physics.ucla.edu/demoweb..._and_general_relativity/curved_spacetime.html

And then check out the links I gave in this post:
https://www.physicsforums.com/showpost.php?p=1557122

And then ask further questions, if any.
 

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