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Re: Re: Time Slowing Down Question.

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Posted by Bruce on February 9, 2001 05:56:54 UTC

Because there are no shells (at rest observers wrt to the singularity) inside the black hole and because the GR bookkeeper (far away observer at rest in flat spacetime) can't observe the inside of the black hole all time coordinates will be the proper time of the rain observer. The rain frame is for the observer freely falling from rest in flat spacetime far away who crosses the event horizon and is eventually crunched at the singularity.
dtrainis the proper time of the rain observer.
I'll show you a metric which is good for outside and inside the event horizon of a Schwarzchild black hole.
Metric for the Rain Frame in geometric units.
dt2=(1-2M/r)dt2rain-2(2M/r)1/2dtraindr-dr2-r2df2
notice this metric has no infinities at r=2M.
If your interested I can give you an idea how this is derived from SR and the Schwarzchild metric.

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