Published Saturday, 14 December 2013
A murder investigation has been launched. (© Pacemaker)
The bodies of the middle-aged victims were discovered in the living room of a flat in the Ravenhill Court area shortly before 3pm on Friday afternoon.
A 33-year-old man was arrested on Saturday on suspicion of murder.
Police are treating the incident as suspected domestic homicide.
Detective Chief Inspector Una Jennings said: "I would describe it as a domestic incident, we believe that the perpetrator of this crime may well have been in a relationship with one or other of the victims."
Police said it is too early to determine how the man and woman died, and have not released their names as not all of their next of kin had been told about what happened.
They added the person they are looking for isn't thought to pose a threat to the wider public.
Local councillor Adam Newton said the deaths are a "worrying development".
The DUP man added: There is alarm and unease about the matter and reassurances need to be offered as to the cause of the deaths. Until the incident has been cleared up many, especially older persons will be worried and they will look to the police for certainty on the matter."
Alliance councillor Maire Hendron said: "The person responsible must be a very callous and cold-blooded individual to have taken the lives of two people. I cannot begin to comprehend what went through the mind of this person when they carried out this crime.
"I would like to offer my condolences to the family and friends of the two victims. My thoughts are with them at what must be a difficult and painful time."
Anyone who was in the area between 3pm on Wednesday and 3pm on Friday has been asked to come forward to the PSNI with any information.
© UTV News