Question on Einstein's Equation

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Sorry this may seem like a stupid question but how is it possible to show by using Einstein's field equation that the geometry around the Earth or any other planets is a chute or basically why the presence of gravity is due to the fact that the spacetime curvature is warped around a large mass/energy ? :blushing:
 

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timmy,

Your attached picture doesn't show the Einstein's equations.
Droping the indices, in tensor notations, the Einstein's equations read (click for a link on wiki):

"[URL = 8*pi*T[/INDENT][/URL]
On the right-hand side is the stress-energy tensor that accounts for energy and momentum. Therefore, the Einstein's equation above relates the space curvature (R) to the energy and monentum (T).

Michel
 
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