Officers have been given a further 28 hours to question a 36-year-old man on suspicion of murder.
It comes after a 36-hour extension was granted by magistrates on Monday.
The man is being questioned over the murder of Debbie Starbuck, formerly known as Debbie Cooper.
The 44-year-old was last seen in Nottingham on April 27, 2010.
Significant inquiries have taken place but her body has not yet been found.
The man, who the Post understands is her husband Jamie Starbuck, was arrested on Saturday morning when he arrived at Heathrow airport.
