The body of a woman found by murder detectives in a lock-up garage in New Malden was yesterday confirmed as that of missing oil executive Carole Waugh.
A post-mortem revealed that the 50-year-old millionaires, of Harrowby Street, Marylebone, died from a single stab wound.
Further examinations are expected to establish the exact cause of Miss Waugh's death.
Her body was found in a blue VW Golf at the garage at Lime Court on Thursday.
A 47-year-old man detained at Luton Airport was arrested on suspicion of murder on Wednesday.
He is being held at a south London police station. A warrant to detain him further was granted at Croydon Magistrates' Court on Thursday, police said.
Miss Waugh had not been seen from mid-April and concerns for her safety were raised after a man attempted to sell her central London flat by posing as her brother.
Financial transactions running to thousands of pounds have been made using her identity since she has been missing.
Some of her personal possessions, including her Cartier jewellery, have gone missing from her central London home.
Miss Waugh, who was originally from Durham, was reported missing by her family on 7 May.
She had lived and worked in Libya for a number of years, but returned to London in 2008.
Detectives said she met men through internet sites, including dating websites, and they were looking into the possibility that she might have been an escort.
Police are appealing for information about a car, a blue VW Golf with the registration number W466 NHL.