Quote:
Originally Posted by Jeffocal
Yes I did however, I believe that Birkhoff's theorem contradicts the basic concepts of Relativity
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It is derived directly from relativity.
Quote:
Originally Posted by Jeffocal
because as was mentioned in the original article I think relativity allows one to define the time dilation associated with the gravitational forces on the surface of collapsing mass in terms of an inertial reference frame at its center.
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Well, you don't define time dilation, you solve for it. Nonetheless, yes you can solve the difference in proper time between the center and the collapsing surface. The equation I gave earlier would work fine for that (although it is a first order approximation). Where the OP goes wrong is thinking that the field is stronger on the surface of the collapsing star than at the center and therefore clocks tick slower on the surface vs. the center. The opposite is true. Clocks at the center of a collapsing star would tick slower than clocks on the surface, and clocks at the surface would again tick slower than clocks further out. There's no contradiction in that.
~modest
