03/21/2013 at 01:15 PM EDT
, who seems like this month's most talked-about celebrity traveler
, returned to Los Angeles on Wednesday while the state of his relationship
with Miley Cyrus
continues to be questioned.
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.