Actor Christian Oliver (real name Oliver Klepser), together with his two daughters, Madita, 10, and Annik, 12, have died in a plane crash off a Carribean Island.

The Speed Racer and Valkyrie actor, 51, was in a single-engine plane which took off from F Mitchell Airport on the small Caribbean Island Becquia, and was heading for Lucia when it crashed into the sea on Thursday (local time), authorities say.

The plane’s owner, Robert Sachs, also died in the crash. All four bodies were recovered, and later pronounced dead. Post mortem examinations will be carried out.

A statement from the Royal St Vincent and Grenadines Police Force confirmed the names of those on board and said the plane ran into trouble shortly after take-off and “plummeted into the ocean”.

“Fishermen and divers from Paget Farm went to the scene of the incident in their boats to render assistance. The SVG Coast Guard was informed and quickly travelled to Paget Farm, Bequia, to lead in the rescue efforts,” it read.

“The RSVGPF expresses condolences to all who are negatively affected by this tragic incident … Investigation into the matter continues.”

The German-born actor is most well-known for his work on the 2008 film Speed Racer, and the Tom Cruise film Valkyrie. His acting credits also include The Good German, Indiana Jones and the Dial of Destiny and Saved by the Bell: The New Class.

Deadline reported he had wrapped up filming on his latest film, Forever Hold Your Peace, on December 20.

Actress Bai Ling, who also worked on the latest film, paid tribute to the actor on Instagram with a photo of the pair together.

“With tears in my eyes I cannot express the sorrow I felt when our direct Nick called me not long ago, that the plane he took had crashed , including his beautiful two daughters and the pilot had all passed,” she wrote.

“He was so nice, worked so hard and such a brave actor and a beautiful gentle person,” the post continued.

“Life is so beautiful yet so unpredictable and so precious. Let’s love and cherish our lives each moment. It’s a beautiful gift that is so fragile.”

The film’s director, Nick Lyon, also posted a photo of Oliver, writing, “Thank you for being a great colleague, actor and friend”.

The cause of the crash has not yet been revealed.