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You are making a fundamental error. In the normal everyday universe gravity may or may not move at light speed. As long as everything else obeys the laws of the universe I'll accept that.
However, you seem quite able to accept that the mass of the sun can instantly disappear from the universe. It is an impossible and preposterous notion that that is so - so don't be surprised if the correct answer to the question is just as impossible and preposterous.
Gravity cannot be separated from the mass that created it, ergo, if the mass disappears instantly then so must the gravity. Okay it is impossible in the real universe - but so is the question.
However, you seem quite able to accept that the mass of the sun can instantly disappear from the universe. It is an impossible and preposterous notion that that is so - so don't be surprised if the correct answer to the question is just as impossible and preposterous.
Gravity cannot be separated from the mass that created it, ergo, if the mass disappears instantly then so must the gravity. Okay it is impossible in the real universe - but so is the question.