Imagine a space craft on a course to the center of the sun. As the craft approaches the sun, the gravitational force of the star would speed up the object perhaps near the speed of light. As we all know, the closer an object is to the speed of light, the more time slows down for the object. My question is since the craft is going fast enough for time to slow down for it, would it take longer for the sun's heat to melt the craft? Bonus points for anyone who does that math and can determine that it is plausible if a man made object can make it to the center of the sun if indeed the answer to my question is yes.