Four people were lost at sea when the plane crashed.
The jet's cockpit looked empty and several military aircraft were scrambled to follow it.
The plane ran out of fuel and crashed into the Baltic Sea.
According to multiple reports, a private plane crashed into the Baltic Sea after it became unresponsive to air traffic control.
As of Monday, no one had been found alive. Peter Griesemann and his family were identified in German and Swedish media as well as a male friend.
It was not clear what caused the plane to plunge into the water hundreds of miles away from its intended destination.
Military jets were scrambled to investigate when nobody was visible in the cockpit or cabin.
The plane left Jerez at 2.56 p.m. on Sunday and was headed to Cologne, Germany.
The jet broke off contact with air traffic control after leaving Spanish airspace because of cabin pressure problems, according to the German newspaper. Bild is a shareholder of a parent company.
The Swedish Maritime Administration said in an exchange with Insider that they followed the plane as it passed through their airspace.
Two Swedish fighter jets followed the jet into Swedish airspace. The Swedish pilots were told by their counterparts in Germany and the Danes that they couldn't see anyone in the cockpit.
The jet ran out of fuel and went into the water off Ventspils.
According to the German state news service, Hans Kjll, an aviation safety expert, said rapid cabin depressurization could have led to the passengers and pilot losing consciousness.
Scott Stedman, an investigative reporter, said that thousands watched the jet's progress on anywayanyday.com.
As of midnight Sunday, no one had been found in the search and rescue efforts. The wreck and oil slick were visible as of early Monday.
Airliners states that a small corporate jet with a capacity of up to 10 seats is called a Cessna .
An archive version of the company's website shows that Griesemann was the founder.
As of Monday the website was offline. The company didn't reply immediately.
According to the report, Griesemann was also the president of the Cologne festival. The founder of the company confirmed Griesemann's death in a statement.
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