Russell Brand and Katy Perry in 2010
12/30/2011 AT 03:00 PM EST
A year after their fairy-tale wedding
in India, it seems Katy Perry
and Russell Brand won't be living happily ever after.
Brand, 36, filed for divorce in Los Angeles on Friday, citing irreconcilable differences.
"Sadly, Katy and I are ending our marriage," he said in a statement to PEOPLE. "I'll always adore her and I know we'll remain friends."
The Superior Court filing, which lists Perry by her given name of Katheryn Elizabeth Hudson, does not list a date of separation.
The pair have been spotted without their wedding rings
in recent days amid reports they spent the holidays apart, with Perry in Hawaii and Brand in the U.K.
The California-born pop star, 27, and the British comedian-turned-actor began dating in 2009. Brand popped the question four months later, and they were married in October 2010 in a lavish ceremony – that included two elephants as well as acrobats and jugglers – at a luxury resort in northern India.
In the early months of their marriage, the two were giddy in their compliments to each other.
Perry called Brand her great man of God,
while Brand said his spiritual and emotional connection
to his bride made him "love everyone."
's April issue, Brand said he had been more than happy to give up his partying ways
to settle down.
"I think I was ready for it," he said. "If you're wild, like a wild animal, marriage won't contain you. I think that's how a lot of people get into trouble."
But in recent weeks, they faced a drumbeat of rumors of trouble in their marriage. Both laughed off the reports
, with Brand telling Ellen DeGeneres earlier this month, "I am really happily married."
With reporting by JULIE JORDAN