Tuesday, 16 October 2018

general relativity - What would happen to the Moon if Earth is turned into a black hole?



Assume that all of sudden the Earth is turned into a black hole. And the moon revolves around the Earth (before turning into a black hole). What would happen to the Moon after earth changes to black hole will it be sucked to the black hole or continue to revolve the black hole?



Answer



If the earth is changed into an earth-mass black hole, the only effect on the Moon's orbit will be a change in the back-reaction on the Moon of the tidal forces that the Moon exerts on the Earth, as well as subtle changes in the Moon's motion due to quadrupole corrections to the Earth's gravitational field. Neither of these effects would be visible to non-experts observing the Moon's orbit from, say, the ISS.


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