updated 09/03/2014 AT 2:00 PM ET
•originally published 09/03/2014 AT 7:40 PM ET
But the “workingmoon,” during which the couple will be filming their upcoming drama By the Sea, is much more than it seems at first blush.
“We are working together on a drama about grief and finding a way through a difficult marriage,” Jolie, 39, tells PEOPLE in this week’s exclusive cover story.
“We find it very funny that it’s our honeymoon.”
The intimate, character-driven drama, in which Pitt and Jolie costar as a married couple who become obsessed with their neighbors, was written by Jolie, who is also directing.
The newlywed has been busy scouting locations for the film in Malta, a seven-island country in the Mediterranean.
The couple will reportedly film in front of the Ta’ Cenc cliffs in the village of Sannat. They have rented much of the area, where the five-star Hotel Ta’ Cenc and its luxury villas are situated.
The film costars French actress Mélanie Laurent, who also appeared with Pitt in 2009’s Inglourious Basterds.
Reporting by MARY GREEN and FEDERICA BRUNINI
For Brad and Angelina’s complete wedding album, all the details of their big day and more of the couple’s interview, pick up this week’s issue of PEOPLE, on newsstands Wednesday