Police were called to a flat in Argyll Road, Woolwich, at around 5.25pm on Friday, (January 17) after “concerns for the welfare of the occupant”.
After gaining entry to the property, officers found a woman, aged 43, dead inside.
A post-mortem yesterday (January 18) revealed the cause of death as “blunt force trauma and head injury”, said the Metropolitan Police.
Police said they are still waiting on formal identification, but the woman’s next of kin has been informed.
Detective Chief Inspector Suzanne Soren, of Specialist Crime South, said: “This is a deeply tragic incident and are thoughts are very much with the victim’s family who are being supported by specialist officers.
“At this early stage we believe the suspect was known to the victim and we are carrying out urgent enquiries to trace a named individual.”