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Question:
Newton's theory of gravitation says that a planet moves around the sun because of the gravitational force. But Einstein's general theory of relativity says that the planet chooses its shortest path around the sun in the four dimensional world, but if Einstein is right, what is holding the planets in orbit? My first guess would be centrifugal force but this too uses the theory of gravity. Can you explain this?



Replies:
The shortest path in four dimensional space - time turns out to be the same ( almost ) as that predicted by Newtonian theory with forces. Deviations are very small and can only be observed for Mercury's orbit. For other planets, very high sensitive is required for detecting Deviations can be large in some other cases as in the case of binary pulsars. But these are non solar system objects.

Jasjeet


4 dimensions is really a red herring, as far as your question is concerned. Einstein REPLACES the notion of gravitational force by the notion of warping space (or space-time, if you will). The result is that the earth follows a geodesic path (shortest distance path) as it travels around the sun because the sun's mass has warped space in such a way as to keep the earth in its orbit. That is about the best we can do without getting into the mathematics, but when you are ready you might take a look at "Gravitation" by Misner, Thorne and Wheeler.

Jack L. Uretsky



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