Layman's question about the application of the curvature to space

Click For Summary
SUMMARY

The discussion centers on the application of spacetime curvature in general relativity, specifically regarding stationary objects and their interaction with gravitational fields. A massive object, such as the Earth, creates a curvature in spacetime, which affects both free-falling and stationary objects. While free-falling objects follow a curved trajectory due to this curvature, stationary objects experience inertial acceleration that is countered by proper acceleration. The conversation emphasizes the importance of understanding spacetime rather than just space when discussing gravitational effects.

PREREQUISITES
  • Understanding of general relativity concepts
  • Familiarity with spacetime curvature
  • Knowledge of inertial and proper acceleration
  • Basic grasp of gravitational effects on objects
NEXT STEPS
  • Research the principles of general relativity and spacetime
  • Study the effects of gravity on stationary versus free-falling objects
  • Explore models illustrating spacetime curvature, such as the rubber sheet analogy
  • Learn about inertial frames and proper acceleration in physics
USEFUL FOR

Students of physics, educators explaining general relativity, and anyone interested in the effects of gravity on objects in spacetime.

sngtdt
Messages
10
Reaction score
0
My question concerns the affect of the curvature of space on a stationary object. I understand that the force of gravity is more accurately described as space curvature. Ie, a massive object like the sun or Earth can be visualized as a bowling ball placed on a rubber sheet, creating a curvature. Objects passing nearby on a straight trajectory will then assume a curved trajectory. I am wondering if the same thing applies to stationary objects on the surface, like a person standing on the earth. How? The model of the bowling ball on a sheet makes it easy to understand the curved path a beam of light will assume passing a massive object. Is there a similar model for stationary objects? Thanks in advance.
 
Physics news on Phys.org
sngtdt said:
My question concerns the affect of the curvature of space on a stationary object. I understand that the force of gravity is more accurately described as space curvature. Ie, a massive object like the sun or Earth can be visualized as a bowling ball placed on a rubber sheet, creating a curvature. Objects passing nearby on a straight trajectory will then assume a curved trajectory. I am wondering if the same thing applies to stationary objects on the surface, like a person standing on the earth. How? The model of the bowling ball on a sheet makes it easy to understand the curved path a beam of light will assume passing a massive object. Is there a similar model for stationary objects? Thanks in advance.
Both the stationary and free falling object will encounter inertial acceleration, however the stationary object compensates this inertial acceleration with a proper acceleration in the opposite direction.
 
sngtdt said:
I understand that the force of gravity is more accurately described as spacetime curvature.
I have corrected the word "space" in your statement above. General relativity uses curved spacetime to describe gravitation, not just curved space. Are you familiar with the concept of "spacetime"?
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 52 ·
2
Replies
52
Views
7K
  • · Replies 62 ·
3
Replies
62
Views
7K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 27 ·
Replies
27
Views
7K
  • · Replies 95 ·
4
Replies
95
Views
11K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K