Can gravitational wave escape a black hole

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SUMMARY

Gravitational waves cannot escape from inside a black hole, as established in classical General Relativity (GR). Light waves, which are bosons, do not play a fundamental role in this context, and gravitational waves, being waves of spacetime curvature, also propagate toward the singularity rather than the event horizon. The discussion emphasizes that theories such as string theory do not alter this conclusion, as the question remains purely classical. Additionally, gravitational waves generated by events outside the event horizon can contribute to phenomena like mass inflation at the inner horizon of rotating black holes.

PREREQUISITES
  • Understanding of General Relativity (GR)
  • Familiarity with gravitational waves and their properties
  • Knowledge of black hole event horizons and singularities
  • Basic concepts of spacetime curvature
NEXT STEPS
  • Research the implications of mass inflation in rotating black holes
  • Study Penrose diagrams for visualizing black hole dynamics
  • Explore the relationship between gravitational waves and spacetime curvature
  • Investigate the effects of gravitational waves on black hole mergers
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Physicists, astrophysicists, and students of theoretical physics interested in black hole dynamics, gravitational wave research, and the implications of General Relativity.

kodama
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kodama said:
light waves created inside a black hole cannot. Can gravitational waves escape from inside of black holes?

in classical GR. does the answer change in string theory?
No, they can't but they don't need to. Why would you think they might? And by the way, please don't use HUGE fonts when it is totally unnecessary to do so.
 
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phinds said:
No, they can't but they don't need to. Why would you think they might? And by the way, please don't use HUGE fonts when it is totally unnecessary to do so.

feel free to correct the formatting.

gravity waves is spacetime waves so its different in nature from lightwaves which are bosons
 
kodama said:
gravity waves is spacetime waves so its different in nature from lightwaves which are bosons

It's irrelevant that light waves are bosons. (And if gravity is quantized, then their quanta are bosons as well.) Light waves are also irrelevant here because light waves don't play any fundamental role in GR or in the properties of black holes.

Low-amplitude gravitational waves obey a wave equation. It's a consequence of this wave equation that these waves propagate along the light cone. For an event inside the event horizon of a black hole, the future light cone lies inside the event horizon. Therefore the answer in classical gravity is no, gravitational waves cannot escape from a black hole.

kodama said:
does the answer change in string theory?

I don't see how string theory or any other theory of quantum gravity is relevant here. This is a purely classical question. Nothing is happening at the Planck scale, so we don't need a theory of quantum gravity to discuss this. Similarly, we don't need QED to explain the radiation pattern of a radio antenna.
 
so what happens to the spacetime curvature wave as it approaches the event horizon from inside the black hole?
 
kodama said:
so what happens to the spacetime curvature wave as it approaches the event horizon from inside the black hole?

It doesn't approach the event horizon. It propagates toward the singularity and ends there.

This is exactly the same as the case of a radio wave. A radio wave emitted from inside the horizon doesn't approach the event horizon. It propagates toward the singularity and ends there.

You might find it helpful to learn about Penrose diagrams in order to reason about this kind of thing. I have a simple, nonmathematical treatment of Penrose diagrams in section 11.5 of this book: http://lightandmatter.com/poets/
 
kodama said:
so what happens to the spacetime curvature wave as it approaches the event horizon from inside the black hole?
what is a "spacetime curvature wave" ? Sounds like you are just stringing words together.
 
phinds said:
what is a "spacetime curvature wave" ? Sounds like you are just stringing words together.

I think this just indicates a gravitational wave. That's what a gravitational wave is: a wave of spacetime curvature.
 
bcrowell said:
I think this just indicates a gravitational wave. That's what a gravitational wave is: a wave of spacetime curvature.
OK. I just had not heard the term before but your interpretation seems reasonable.
 
  • #10
kodama said:
feel free to correct the formatting.

Done. :wink:
 
  • #11
Gravitational waves originate outside the event horizon of a black hole. It's predicted that when a BH collapses with rotation, some of the gravitational wave (the radiative tail) falls through the EH which then inflates in a Dirac Delta like function at the inner/Cauchy horizon contributing to something called mass inflation (a weak singularity at the inner/Cauchy horizon). This is part of the reason why the inner horizon is considered to be unstable and 'the boundary of predictability'.

Old library entry with a number of links to various paper-
What is mass inflation
 
  • #12
We could detect gravitational waves produced by a merger of 2 BH; but if this waves meet an other BH, will they be absorb by this last one?
 
  • #13
Not sure. I've heard once from someone here on PF that a gravitational wave coming across a black hole will cause changes in the event horizon that would end up creating another gravitational wave identical to the first one. So it would be like the original gravitational wave simply passed through the black hole.
 

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