This was one of Einstein gedanken experiments I think.
If the light stopped for the reason of the sun not being there suddenly, would earth whizz out to space and when would it start doing so, bearing in mind of course that someone standing on the sun and someone standing on earth would neva be able to agree on a common time.
but there is this thing about gravity waves, and the Earth starts to whizz out after around 8 minutes - it can;t do it before that or else the infomation travels faster than light and this is a relativity no-no.
Just trying to help.