A post-mortem examination into the death of Peaches Geldof (25) has proved inconclusive, pending the result of toxicology analysis.
The daughter of Bob Geldof was found dead at her home in Kent on Monday.
Police are treating the death as non-suspicious and unexplained. A statement said the result of a toxicology report can take several weeks.
A coroner is expected to open an investigation after the results of the tests are known.
Officers say they are continuing to investigate the circumstances surrounding her death in order to compile a report for the coroner.
Ms. Geldof, who had two young sons with her second husband - musician Tom Cohen - was a prolific tweeter and the final message she sent on Sunday was a picture of herself as a child with her mother, with the message "me and my mum".
Her father released a touching tribute in which he said the family was suffering "beyond pain".
Ms. Geldof's elder sister Fifi Trixibelle Geldof posted a picture on Instagram on Tuesday of the two of them together when they were children and wrote "My beautiful baby sister....Gone but never forgotten. I love you Peaches x".
She was just 11 when her mother, TV presenter Paula Yates, died from an accidental heroin overdose in 2000, aged 41.
Claire Irvin is editor in chief of Mother and Baby Magazine, for which Peaches wrote a column.
