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Posted by Jim Bergquist on January 2, 2001 09:07:53 UTC

When we use the Schwarzschild geometry, we have to remember from what perspective the equations are written. Loss of context can induce errors in perception and lead us astray. As I have mentioned to Bladesinger the distant observer is not necessarily well informed. In the local frame of reference, assuming c = 1, the metric is:

ds^2=-dt'^2 + dr'^2 + ...

The COBE experiment indicated that the background radiation was essentially uniform with small variations in angular distribution. This may be interpreted as our neighborhood of the universe being in equilibrium with this background radiation. This would be the local frame of reference. If we traveled in some direction at relativistic speed, this result may change and if so we could use this to determine v/c.

I am not familiar with your use of the subscript "shell" for a local frame of reference. Could you direct me to a source that uses this formulation?

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