Stockholm have confirmed only that a preliminary investigation into murder has been launched.
“I can confirm that it is a woman who is dead and that a preliminary murder investigation has been launched,” said Stefan Sjölund at Roslags police to the TT news agency.
Sniffer dogs and a helicopter have been deployed in the search for the man.
Police were called to the scene at around 11am on Saturday after the discovery of the woman’s body in the Gribbylund area of Täby in north-eastern Stockholm.
A large area around the suspected crime scene has been cordoned off and police technicians have arrived at the scene, according to a report in the Aftonbladet daily.
A local resident told the newspaper’s reporter that he had been asked if he had seen a man in his forties dressed in grey jogging pants.
The police are focusing their search in woodland near the Gribbylund residential area.
A block of flats has been cordoned off and residents of the building have been urged to remain indoors, according to the report.
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