Black hole/Hawking radiation thought experiment

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SUMMARY

This discussion centers on a thought experiment involving black holes and Hawking radiation. It posits a scenario where a spaceship, capable of near-light-speed travel, attempts to cross the event horizon of a black hole that is evaporating at a rate of X m/s. The key conclusion is that once inside the event horizon of an evaporating black hole, all paths lead to the singularity, making escape impossible despite the spaceship's capabilities.

PREREQUISITES
  • Understanding of black hole physics, specifically event horizons and singularities.
  • Familiarity with Hawking radiation and its implications on black hole evaporation.
  • Knowledge of relativistic physics, particularly concepts related to traveling at the speed of light.
  • Basic grasp of astrophysical concepts related to spacetime and gravitational forces.
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  • Research the implications of Hawking radiation on black hole lifespan and structure.
  • Explore the mathematics of event horizons and the conditions for escaping gravitational pull.
  • Study the effects of relativistic speeds on time dilation and spatial perception near black holes.
  • Investigate theoretical models of black hole evaporation and their impact on surrounding spacetime.
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Astrophysicists, theoretical physicists, and students of advanced physics interested in black hole dynamics and the implications of Hawking radiation.

marconius
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Hello everyone! New poster here.
I would first of all like to thank you all, since in these threads i have found answers to many of my questions about astrophysics!

I have a little thought experiment for you guys:

Lets say that because of Hawking radiation, the radius of a black hole's event horizon
is decreasing at the rate of X m/s
Lets imagine that such black hole is large enough to allow for a hypothetical spaceship
to cross the event without being spaghettified/destroyed
Lets also assume that such a spaceship has an abundant amount of fuel and can fire its
powerful engines for an unlimited amount of time, getting as close to traveling at C as
physically possible

If the ship were to cross the black hole, would it manage to resist the pull of the black hole
enough to travel towards the singularity at a rate of only (X-Y)m/s and therefore free itself from its pull? (recall that the black hole is receding at X m/S)?
 
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Unfortunately, there is no escape route. Once inside an evaporating (spherically symmetric) black hole, all (timelike) paths lead to the singularity.
 

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