Police are continuing to carry out inquiries, which has included speaking to residents and examining CCTV to establish the movements of the man prior to his death.
A scene preservation is also in place to allow forensic officers and a specialist search team to examine the flat.
Det Insp Kevin Hames, senior investigating officer, said: “The victim and the man in custody are known to each other and while our investigation is still in its early stage, we are not looking for anyone else in connection with the incident at this time.
“There are officers in the area who are speaking to people who may have seen or heard anything that could assist with our investigation.
“If you have not been spoken to but have some information that could be useful, please contact us.”