Light that is directed towards the center of a black hole

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Discussion Overview

The discussion centers around the behavior of light near black holes, particularly whether a photon can achieve a stable orbit around a black hole and the implications of crossing the event horizon. Participants explore theoretical aspects, including the concept of the photon sphere and the effects of gravity on light trajectories.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants propose that a photon can orbit a black hole in a region called the photosphere, but this orbit is unstable and temporary.
  • Others argue that as one approaches the event horizon, the gravitational effects become infinitely strong, suggesting that a balancing radius for a photon to orbit may exist, though light as a wave will diffuse and not maintain this orbit for long.
  • A participant asserts that anything crossing the event horizon cannot escape, emphasizing that from an observer's frame of reference, time stops at the event horizon.
  • It is noted that for non-rotating black holes, light can orbit at a radius of 1.5 times the Schwarzschild radius, and any light coming closer without deflection will fall into the black hole.
  • Discussion includes the concept that light can cross the event horizon, but this crossing may occur after the end of our spacetime, with calculations suggesting infinite time for light to reach the surface of a black hole.
  • Participants question the implications of time synchronization in general relativity, complicating the understanding of events after crossing the event horizon.
  • Concerns are raised about the diffraction of light, with some suggesting that light will not maintain its orbit due to this effect and the strong tidal forces near the black hole.
  • The photon sphere is identified as being at a radius of 3M around a black hole, where light can orbit multiple times before potentially escaping.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the stability of light orbits around black holes, the nature of crossing the event horizon, and the effects of diffraction on light. The discussion remains unresolved with no consensus reached.

Contextual Notes

Limitations include assumptions about the stability of orbits, the definitions of event horizons, and the mathematical implications of light behavior near black holes. The discussion does not resolve the complexities of these concepts.

jaydnul
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If a beam of light is on a trajectory that is perfectly tangent to the event horizon of a black hole (or a little below tangent, allowing it to "dip" into the EH for a moment), is it possible that that photon could be pulled into a never ending orbit around the black hole? Or is the gravity too great that not even the biggest super massive black holes in the universe could achieve this?

Edit: the title is supposed to say light that ISN'T directed...
 
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In theory, yes. There is a region called the photosphere where a photon can orbit a black hole. This, however, is a temporary situation. The orbit is unstable and will not persist.
 
If you go nearer and nearer to the event horizon, the effect of gravity gets stronger and stronger unlimitedly. So, I think, you can always find balancing radius for a photon to orbit a black hole. But, light as wave diffuses by diffraction. So, it will not last long.
 
Jd0g33 said:
(or a little below tangent, allowing it to "dip" into the EH for a moment),
"dip" is impossible. Anything inside the EH can not go out of the EH. This is the definition of EH. Furthermore, I think, anything can not go into the EH in our (= observers far from the black hole) frame of reference because progress of the time stops there. Following link shows further discussion.
http://en.doppolaboratory.com/engli...tions/is-the-distance-to-a-black-hole-finite/
 
There are possible orbits for light, but they are not at the event horizon. For non-rotating black holes, their radius is 1.5 times the Schwarzschild radius.
If light comes closer than this value, and does not get deflected (with a mirror for example), it will fall into the black hole. Once light crossed the event horizon, not even a deflection helps.

A rotating black hole has different radiuses corresponding to different directions of the orbit.
 
mfb said:
Once light crossed the event horizon,
“Kruskal–Szekeres coordinates“ shows that light can cross the event horizon. But, I think, the crossing can take place after the end of our spacetime. I calculated the time for light to reach the surface of a black hole from a certain point by simply integrating well-known equation. It went infinite. This is shown in eq. (7) in the web page cited in comment #4 above.
 
Just fall in together with the light, and it will be finite for you ;).
As there is no unique way to synchronize clocks in general relativity (and even if you could do this, they would run out of sync again), it is not so clear what "happens after time x" means.
 
All I wanted to say is that eq. (7) seems simple enough to convince me.
 
Sorao said:
But, light as wave diffuses by diffraction. So, it will not last long.
defracts off what?
 
  • #11
Superposed_Cat said:
defracts off what?

A laser pointer can spot a point sharply at a screen 10m ahead. But it can’t spot a point 100m ahead because the beam diverges and brightness of the spot decreases. This is because of diffraction. Additionally, because of strong tidal effect, the divergence must be accelerated. So, I think all photons will escape or fall into the black hole before long.
 
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