Two event horizons in close proximity

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Discussion Overview

The discussion centers on the behavior of photons in the vicinity of two black holes with overlapping event horizons, exploring theoretical scenarios involving multiple black holes and their event horizons. Participants examine the implications for photon trajectories and stability in such configurations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question how a photon, initially orbiting one black hole, would determine its path when approaching the region where two event horizons meet.
  • Others suggest that if many small black holes with touching event horizons were present, the behavior of photons in that region would be complex and uncertain.
  • It is noted that photons do not orbit at the event horizon but rather at the photon sphere, which is a point of unstable orbit.
  • One participant raises the question of whether orbits can be stable in an idealized Schwarzschild black hole, specifically referencing the photon sphere's radius.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of photons near overlapping event horizons, with no consensus reached on the implications of multiple black holes or the stability of orbits in Schwarzschild black holes.

Contextual Notes

The discussion involves assumptions about the nature of black holes and photon behavior that may not be universally agreed upon, particularly regarding the stability of orbits and the dynamics at the event horizon.

kurious
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Two black holes of equal mass move together so their event horizons meet.
How would a photon initially going around one horizon in a circle,know which horizon to go around when it comes to the place where the horizons meet?
And if there were thousands of small black holes filling a large area of space, all with touching event horizons, how would the photon behave?
 
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kurious said:
Two black holes of equal mass move together so their event horizons meet.
How would a photon initially going around one horizon in a circle,know which horizon to go around when it comes to the place where the horizons meet?
And if there were thousands of small black holes filling a large area of space, all with touching event horizons, how would the photon behave?

Photons don't orbit at the event horizon. They unstably orbit at the Photon sphere.
 
When two black holes meet, they would most likely collapse into one. Similarly with lots of black holes touching.
 
DW said:
Photons don't orbit at the event horizon. They unstably orbit at the Photon sphere.

Can the orbit be stable in an idealized Schwarzschild black hole?
 
jcsd said:
Can the orbit be stable in an idealized Schwarzschild black hole?

No, that's actually the kind of hole I was referring to. For the ideal Schwarzschild hole the photon sphere is at
[tex]r_{ps} = \frac{3GM}{c^2}[/tex].
 

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