Stephanus
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To the observerrootone said:The black hole is approaching a speed of c in relation to what?
The discussion centers around the implications of a black hole traveling at relativistic speeds, specifically near the speed of light. Participants explore the geometry of the black hole's event horizon from different observational perspectives, the effects of relativistic motion on its appearance, and the nature of gravitational effects in this context. The conversation touches on theoretical aspects of general relativity and the challenges of visualizing black holes under such conditions.
Participants express a range of views on the nature of the event horizon and its geometry under relativistic motion, with no consensus reached on how to interpret these effects. The discussion remains unresolved regarding the application of length contraction and the implications of relativistic speeds on gravitational properties.
Limitations include the complexity of visualizing black holes at relativistic speeds, the dependence on definitions of motion and geometry, and the unresolved nature of how different frames perceive the event horizon.
To the observerrootone said:The black hole is approaching a speed of c in relation to what?
... technically you can't just say "the observer" in GR like you can with SR. In SR the observer is usually inertial. Where a black hole is involved, the observer is unlikely to be inertial so you'll see discussion involving distant and close observers, observers free-falling, and so on. Do you mean to ask about a relativistic black hole from the POV of a very distant observer? Perhaps headed directly away or directly towards the observer? Or are you thinking of a black hole passing by so it starts out distant, comes close, but not s close the observer gets gravitationally bound to it, and then retreats?To the observer.