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- Summary
- Is there a consensus on whether the laws of relativity can be applied up to the event horizon of a black hole, or does the theory start falling apart some distance above it.

Understanding that I might be pushing the limits into heuristic territory, I'm wondering how much agreement exists on whether the theory holds up in the proximity of an event horizon.

This came up during a recent discussion about matter falling into the black hole and the Schwarzschild solution predicting that due to time dilation time slows down for the falling matter as it approaches the black hole in relation to a far away observer's frame of reference. The formula ideally predicts that time slows down to a stop at the event horizon (again, in relation to a far away observer's frame of reference).

The meat of the discussion was about collateral implications: During the matter collapse leading to the formation of a black hole, once the mass density is such that the radius of the body becomes equal to the Schwarzschild radius, to an outside observer any further development of the black hole stops.

This would also also means that outside observers cannot witness any mass crossing the event horizon, because to the observer, the event will not take place until time approaches infinity.

So for all intents and purposes, from our perspective, we cannot state that any matter is actually crossing any event horizon of any black hole anywhere in the universe, only approaching it.

The actual crossing of the event horizon, of any matter falling into any black hole in the universe, as long as the Schwarzschild solution holds up, would occur at the end of times.

And that is the reason for the question, is there a consensus on whether the present theory holds up very near to the event horizon.

Thank you for your time... and patience.

This came up during a recent discussion about matter falling into the black hole and the Schwarzschild solution predicting that due to time dilation time slows down for the falling matter as it approaches the black hole in relation to a far away observer's frame of reference. The formula ideally predicts that time slows down to a stop at the event horizon (again, in relation to a far away observer's frame of reference).

The meat of the discussion was about collateral implications: During the matter collapse leading to the formation of a black hole, once the mass density is such that the radius of the body becomes equal to the Schwarzschild radius, to an outside observer any further development of the black hole stops.

This would also also means that outside observers cannot witness any mass crossing the event horizon, because to the observer, the event will not take place until time approaches infinity.

So for all intents and purposes, from our perspective, we cannot state that any matter is actually crossing any event horizon of any black hole anywhere in the universe, only approaching it.

The actual crossing of the event horizon, of any matter falling into any black hole in the universe, as long as the Schwarzschild solution holds up, would occur at the end of times.

And that is the reason for the question, is there a consensus on whether the present theory holds up very near to the event horizon.

Thank you for your time... and patience.