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Physics, Astronomy & Cosmology / Can matter penetrate the event horizon?
« on: 23/04/2017 00:57:39 »
It is well known that the speed of light goes to zero at the event horizon of a Schwarzschild black hole. You can prove this to yourself by solving the metric for a radially in-falling photon, for which proper time is identical to zero. The result is:
c=co(1-rs/r)
The Shapiro effect exemplifies this phenomenon.
What happens to an in-falling mass is less obvious because the speed of proper time is a function of velocity:
dT/dt=sqrt((1-rs/r)(1-(v/c)2))
c=co(1-rs/r)
The Shapiro effect exemplifies this phenomenon.
What happens to an in-falling mass is less obvious because the speed of proper time is a function of velocity:
dT/dt=sqrt((1-rs/r)(1-(v/c)2))