The woman’s body was found at 9.30pm. Police have not revealed any information concerning her age or the nature of her injuries.
Police said they had reason to suspect foul play and have launched an immediate investigation.
“We are not ruling anything out and are working on a wide front,” spokesman Bo Gunnarsson told TT.
The man is in hospital being treated for his injuries.
“We may be able to say more during the day,” said police spokeswoman Anneli Jonsson on Monday morning.