Space-Time Curvature: Sun & Earth Pulled Together with Equal Force

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SUMMARY

The discussion centers on the concept of gravity as a curvature of space-time, specifically examining the interaction between the Sun and Earth. It is established that the Sun, due to its mass, creates a greater curvature in space-time than Earth. However, both bodies experience the same gravitational attraction, which is explained through the notion that they follow geodesics in this curved space-time. Gravity is redefined in this context as the absence of force acting on an object, allowing it to move along these natural paths without deviation.

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  • Understanding of general relativity principles
  • Familiarity with the concept of geodesics in curved space-time
  • Basic knowledge of mass and gravitational interaction
  • Awareness of the distinction between force and curvature in physics
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Due to mass Space time curves.
Consider the case of sun & earth.
Sun,since it is heavy will curve the space more than earth.isn't it?
Then how come the sun and Earth are being pulled towards each other with same force?
The Earth has to straighten the curve (caused by sun)first,and then has to curve it in opposite direction ,so that it can pull the sun towards it .Or the space time is curved between the two bodies?
could anybody explain?
 
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Maybe this is just my misinterpretation, in which case someone will stop by to straighten both of us up, but: when you view gravity as nothing more than curvature of space, then what force is there between two masses?

It doesn't make sense to me to say that the sun attracts the Earth through a force, and at the same time the sun appears to attract the Earth due to it warping spacetime.
 
ganstaman said:
Maybe this is just my misinterpretation, in which case someone will stop by to straighten both of us up, but: when you view gravity as nothing more than curvature of space, then what force is there between two masses?

It doesn't make sense to me to say that the sun attracts the Earth through a force, and at the same time the sun appears to attract the Earth due to it warping spacetime.

This is correct as far as it goes. I think what you are probably missing is the idea that the Earth (for example) is essentially moving along a geodesic in space-time, and that it doesn't require a force to make an object move along a geodesic, it takes a force to make an object deviate from one.

Thus gravity isn't a force in this geometric interpretation. Rather, objects with no force acting on them (no "real" force - gravity isn't a force in this interpretation) follow geodesics. They do this because that's the natural path for a body to take in a curved space-time.
 

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