updated 03/21/2013 AT 1:15 PM ET
•originally published 03/21/2013 AT 10:45 AM ET
The Australian actor, 23, was spotted leaving the Los Angeles airport in sunglasses and a gray hoodie after being out of the U.S. for three weeks, and reportedly headed straight to his fiancée’s house. He “seemed rested and relaxed” despite coming off a 13-hour flight, says a source.
Hemsworth flew to Australia on March 1 amid reports he and Cyrus were having problems – and photos were published showing her without her engagement ring. He was later spotted strolling shirtless along a beach in his native country.
The actor then flew to the Philippines this week, where he debuted a scruffy new look and promoted the clothing line Bench.
Cyrus, meanwhile, had her ring back on in Twitter photos she posted Tuesday. Late Wednesday she posted a new twerk video on Facebook, in which she dances around in the same unicorn hoodie seen in the Twitter pics.