The duo is set to star in "Vita & Virginia" directed by Chanya Button, reported Variety.
The movie discovers the course of friendship and love affair between Virginia Woolf and Vita Sackville-West, which formed the inspiration for the author's novel "Orlando".
Green will play the character of Woolf and West will be played by Arterton.
"... What 'Vita & Virginia' offers is an example of a relationship where bold, brilliant women bent these institutions to their will at great personal cost," said the director.
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