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On one hand we herald the proof of g-lenses as:
http://en.wikipedia.org/wiki/Gravita..._lense#History
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According to general relativity, mass "warps" space-time to create gravitational fields and therefore bend light as a result. This theory was confirmed in 1919 during a solar eclipse, when Arthur Eddington observed the light from stars passing close to the sun was slightly bent, so that stars appeared slightly out of position.
But now SJ is saying i cannot use the same physics to predict and measure the lensing of an object with 2.6 Million solar masses.... the black hole at SagA*
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Hold your horses. The Sun does not have an external event horizon so you cannot equate the Eddington experiment to black holes.
Black holes are very effective at bending light if their event horizons are close to their centres or singulariites. A one solar mass black hole will bend light far more noticeably than our Sun or a one million solar mass black hole.
The radius of the event horizon (Schwarzchild radius R) is
R= 2MG/c^2.
So as you increase mass M the event horizon radius R increases. The radius of a one million solar mass BH is one million times larger than the radius of a one solar mass BH. The larger the radius the less space time curves at the horizon.
Regards
Steven