Published Wednesday, 09 April 2014
Peaches Geldof, pictured in February. (© Getty)
Kent Police have said the results of toxicology analysis could take several weeks.
In a statement, they added: "Officers continue to investigate the circumstances surrounding the death in order to compile a report for the coroner."
A decision on whether to hold an inquest into Geldof's death will be made depending on the final results of the post mortem.
The mother-of-two was found dead at her home near Wrotham, Kent on Monday after police officers were called "following a report of concern for the welfare of a woman".
Her death is not being considered as suspicious but "unexplained".
She had two sons, Astala, who will turn two later this month, and 11-month-old Phaedra, with her second husband, musician Thomas Cohen.
Following the news of his daughter's death, Irish singer Bob Geldof said he and his family were "beyond pain".
In a family statement on behalf of sisters Fifi Trixibelle and Pixie and younger half-sister Tiger, Sir Bob said: "Peaches has died. We are beyond pain. She was the wildest, funniest, cleverest, wittiest and the most bonkers of all of us. Writing 'was' destroys me afresh. What a beautiful child."
Peaches Geldof's mother Paula Yates died in 2000 following a drug overdose.
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