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## Main Question or Discussion Point

Hi guys,

I have a GR question. It is usually said that black holes have event horizons in which time freezes/stops relative to an outside observer. This happens in the Schwarzchild coordinate system. But are there any coordinate systems in which the coordinate time of the black hole and its event horizon does not slow down so enourmosly that it stops, so we can track the timelike events on the worldline of the black hole? If there are, then how is this related to the gravitational time dilation? I will try to explain the last question with an example. If we use the Scwarzschild Coordinates here on Earth and we conclude that no time has passed relative to us (time is 'frozen') on a black hole, how can we use another coordinate system and conclude that some time has elapsed on a black hole relative to us?

Thanks in advance

I have a GR question. It is usually said that black holes have event horizons in which time freezes/stops relative to an outside observer. This happens in the Schwarzchild coordinate system. But are there any coordinate systems in which the coordinate time of the black hole and its event horizon does not slow down so enourmosly that it stops, so we can track the timelike events on the worldline of the black hole? If there are, then how is this related to the gravitational time dilation? I will try to explain the last question with an example. If we use the Scwarzschild Coordinates here on Earth and we conclude that no time has passed relative to us (time is 'frozen') on a black hole, how can we use another coordinate system and conclude that some time has elapsed on a black hole relative to us?

Thanks in advance