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Is space becoming time-like inside an event horizon a consequence of our coordinate system?
Is the fact that "space behaves like time" inside an event horizon a consequences of our particular coordinate system? Or is it a universal fact?
I am asking based on the statement in this video How ...
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Direction of future time cone inside Schwarzschild horizon
Following is the picture copied from enter link description here, illustrating the future time cone inside the Schwarzschild horizon.
My question is, on the left side of $r=2M$, why must the time ...