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Mass causes space time curvature 
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#19
Dec612, 03:37 PM

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P: 2,470

If the Sun was to be replaced by black hole of equal mass right now, all of the planets would keep on moving in exactly the same trajectories. In terms of gravity, we wouldn't notice the difference. Like people have said, you shouldn't take the analogy with object on an elastic surface too literally. 


#20
Dec612, 03:52 PM

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Thanks
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Which just goes to show.... 


#21
Dec612, 04:11 PM

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#22
Dec612, 05:04 PM

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Is the interior of a hollow sphere Ric=0?



#23
Dec612, 05:10 PM

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#24
Dec612, 05:22 PM

P: 544

Would we say the interior of a hollow sphere is a case where mass causes space time noncurvature... in so far as additional regional curvatures will still be present within the sphere, but the sphere's regional curvature will contain a "flat spot"?



#25
Dec612, 05:37 PM

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P: 2,470

It's actually completely flat. The only spherically symmetric solution that is Ricciflat and doesn't have mass at the center singularity will be flat. The interior will be timedilated compared to exterior, but otherwise, identical to Minkowski spacetime.



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