Gravitational Red Shift at the center of a mass

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j bramblejam
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I understand we can calculate that gravitation is neutralized at the center of a mass - say, a planet or star (or anywhere within a spherical shell); I wondered if the GRS is also neutralized, or if being pervaded by gravity - however neutralized - the dilation of space-time persists therein.
 
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Remember that the center of an object (assuming it is perfectly sphereical) will NOT have a difference in gravity from any point. This means that there will not be any acceleration or redshift in anyone direction.

However, there is still gravity at that point. That means that the center will still experience all the effects of time dilation and such.