http://abcnews.go.com/Entertainment/...ry?id=32191481
Neil deGrasse Tyson: "We have ways of moving into the future. That is to have time tick more slowly for you than others, who you return to later on. We've known that since 1905, Einstein's special theory of relativity, which gives the precise prescription for how time would slow down for you if you are set into motion."

Einstein's special relativity predicts the opposite: For the entire outward and return parts of the trip, time ticks FASTER for the traveller (he sees his clock running FASTER than the stationary clock):

http://www.people.fas.harvard.edu/~djmorin/chap11.pdf
Introduction to Classical Mechanics With Problems and Solutions, David Morin, Cambridge University Press, Chapter 11, p. 14: "Twin A stays on the earth, while twin B flies quickly to a distant star and back. (...) For the entire outward and return parts of the trip, B does observe A's clock running slow, but enough strangeness occurs during the turning-around period to make A end up older."

http://sciliterature.50webs.com/Dialog.htm
Albert Einstein: "During the partial processes 2 and 4 [the outward and return parts of the trip] the clock U1, going at a velocity v, runs indeed at a slower pace than the resting clock U2."

Note: In Einstein's paper U2 is actually the travelling clock and U1 is the resting one, but since in the above quotation things are judged from the traveller's reference frame, U1 is said to be "going at a velocity v" while U2 is called "resting".

Pentcho Valev