updated 05/09/2013 AT 2:00 PM ET
•originally published 05/09/2013 AT 12:20 PM ET
Married life is already smooth sailing for Keira Knightley.
The actress and her new husband, James Righton – who tied the knot earlier this month during an intimate ceremony in Mazan, a small village in Provence, France – celebrated their new roles as husband and wife with a honeymoon to Corsica.
While Knightley, 28, and the Klaxons keyboard player spent some time relaxing and soaking up the sun – during which Knightley showed off her slim figure in a barely-there bikini – the duo appeared to be more focused on the beach.