Celebrity Celebrity Relationships Celebrity Breakups Tesla CEO Elon Musk Is Dating Singer Grimes Months After Splitting from Amber Heard: Source The couple have been quietly seeing each other for a couple months, a source tells PEOPLE exclusively By Melody Chiu Melody Chiu Melody Chiu is an Executive Editorial Director at PEOPLE overseeing Entertainment, Books and Events. With the brand since 2009, she has written cover stories on Taylor Swift, Selena Gomez, John Legend, Sandra Oh, House of Horrors survivor Jordan Turpin and more. Chiu oversees all of PEOPLE's entertainment verticals, as well as events strategy and live red carpet coverage for awards season. She graduated from the University of Southern California and has appeared on Today, The Talk, Good Morning America and more. People Editorial Guidelines Published on May 7, 2018 08:45PM EDT After splitting for good from his ex-girlfriend Amber Heard in February, Tesla CEO and SpaceX founder Elon Musk has been quietly dating Canadian singer Grimes, PEOPLE confirms. The new couple made their public debut at the Met Gala on Monday night. Musk wore a black tuxedo jacket with a Papal-style shirt underneath, black trousers and a white robe, while the singer went for a gothic look in a black-and-silver corseted gown, teamed with a matching choker, sheer gloves and an Elvira-style updo. Elon Musk and Grimes. Neilson Barnard/Getty “They’ve been seeing each other but have been keeping their relationship under the radar,” says a source about Grimes, 30, and Musk, 46. The duo raised eyebrows last month when they had a flirty interaction on Twitter, and Musk replied to a fan who told him to “Just ask her out already” with a wink emoji. Want to keep up with the latest from PEOPLE? Sign up for our daily newsletter to get our best stories of the day delivered straight to your inbox. Musk also gave his girlfriend’s “Venus Fly” music video a shout-out in late March, telling his followers it’s the “best music video art I’ve seen in a while.” Musk — who was married thrice before and has six children — briefly reunited with Heard earlier this year after they broke up last August. “Elon decided it was time to end it and Amber agreed. They both still care deeply for each other but the timing wasn’t right,” a source close to the former couple previously told PEOPLE. RELATED VIDEO: 2018 Met Gala Co-Host Amal Clooney Hits the Red Carpet – in Pants! – Alongside Husband George Heard was also at the 2018 Met Gala in a long-sleeve red gown teamed with a golden burst crown. Neilson Barnard/Getty The actress and the billionaire mogul were first linked together in 2016 as each was weathering a public breakup: Heard and actor Johnny Depp finalized their divorce in January, while Musk filed for divorce from Westworld actress Talulah Riley in early 2015. “I will never be happy without having someone. Going to sleep alone kills me,” he said in an interview with Rolling Stone last year. “It’s not like I don’t know what that feels like: Being in a big empty house, and the footsteps echoing through the hallway, no one there — and no one on the pillow next to you. F—. How do you make yourself happy in a situation like that?”