Light-ray interpretation of black hole time dilation?

  • Thread starter Alexrey
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I know that a black hole creates infinite curvature in spacetime and hence infinite time dilation. I was wondering though, if I could think of this stopping of time due to the fact that a light ray moving radially towards the centre of a black hole would have to travel infinitely far along the coordinate system's proper radial axis to reach the black hole's centre, as the infinite curvature would produce a proper radial distance tending to infinity as the light ray gets closer to the singularity?
 

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Simon Bridge
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Probably best for you to look at:
http://www.jimhaldenwang.com/black_hole.htm
... introduction to space-time geometry inside and close to a black hole.

Don't be too intimidated by the math - scroll till it starts talking about the Schwarzschild metric.
 
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