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Posted by Jim Bergquist on January 8, 2001 05:17:43 UTC

Consider the following calculations based on energy considerations:

Classically:

E = 1/2*m v^2 - GMm/r = 0

v=c -> r = 2GM/(c^2)


Relativistically:

E = m c^2 - GMm/r = m0 c^2

-> 1 - GMm/(r*c^2) = m0/m -> 0 as v -> c

-> r = GM/(c^2)

This would imply that the relativistic event horizon is at half of the classical distance.

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