But now we know where the actor has been. At least some of the time.
Sources tell E! News that Travolta spent much of last week holed up at his Jumbolair gated home near Ocala, Fla., with wife Kelly Preston and the couple's two children.
"He was at Jumbolair, the whole family, acting like everything was normal," says a neighbor.
The Pulp Fiction star not only had visitors, but also met with members of his aviation crew.
But Travolta has been on the move. His jet was seen flying in and out twice in the last week, which is typical for the licensed pilot.
However, he and his family have not been seen this week.
The last time Travolta was photographed in public was on April 26 at CinemaCon in Las Vegas.
Speaking of being photographed, the Oscar nominee actually shared plenty of pics of himself and his brood (including late son Jett) when he posted the above video recently to his website as a Mother's Day gift for Preston.
"My husband, Johnny, made his directorial debut creating a special Mother's Day video for me," Preston wrote on her website. "I was so moved and love it so much that we wanted to share it with all of you. Happy Mother's Day to anyone who mothers a child."
The tune "That Face," performed by longtime family friend Barbra Streisand, serves as the soundtrack for the clip, which ends with a message that reads, "Happy Mother's Day. With all my love, Johnny."