The body of Peaches Geldof has been released to her family so that funeral arrangements can be made.
On Wednesday, an autopsy was inconclusive in determining the cause of the 25-year-old's sudden death. Authorities are now awaiting the results of a toxicology test, which is expected to take two to three weeks.
Geldof was pronounced dead by paramedics at her home in southeast England on Monday. Police are treating her death as "non-suspicious but sudden and unexplained."
Authorities have said detectives are investigating the surrounding circumstances and will hand their report to a coroner, who will then likely hold an inquest (the British legal procedure for determining the facts of unexplained or violent deaths).
Geldof was the daughter of Irish musician Bob Geldof and the late TV host Paula Yates. She was well known in the U.K. for her teenage antics in the public eye and for her later work as a model, writer and TV presenter. Her mother, Yates, died of a heroin overdose when Peaches was 11.
In recent years, she had married for a second time, to musician Tom Cohen, with whom she had two young sons, while continuing her career as a broadcaster and fashion writer.