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## GR - time dialation at center of a planet

The gravitational force is zero at the center of a planet, but the GPE is at a peak minimum (most negative). What happens to the time dialation factor inside the surface of a planet of uniform density versus at the surface of that planet.?
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 Quote by Jeff Reid The gravitational force is zero at the center of a planet, but the GPE is at a peak minimum (most negative). What happens to the time dialation factor inside the surface of a planet of uniform density versus at the surface of that planet.?
See

http://www.physicsforums.com/showthr...02#post1543402.

You might want to set $v=0$.

http://www.physicsforums.com/showthr...71#post1836071.

 Quote by Jeff Reid The gravitational force is zero at the center of a planet, but the GPE is at a peak minimum (most negative). What happens to the time dialation factor inside the surface of a planet of uniform density versus at the surface of that planet.?
Gravitational potential minimal -> clock rate minimal

Here is a visualization of the complete Schwarzschild metric (interior + exterior combined):