Are Ryan Gosling and Michelle Williams a Couple Off-Screen?

Michelle Williams and Ryan Gosling

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updated 05/19/2010 AT 1:00 PM ET

originally published 05/19/2010 AT 4:40 PM ET

Their new movie Blue Valentine earned great reviews so far at the Cannes Film Festival – but costars Michelle Williams and Ryan Gosling have everyone on Croisette talking about something else: whether or not they’re a real-life couple.

In the drama, Williams and Gosling, both 29, play a couple trying to prevent their marriage from falling apart. But the stars looked anything but troubled at Tuesday’s photocall, where the actor squeezed Williams’s hand affectionately.


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