A Metropolitan Police spokesman said: "At approximately 04:15 BST on Monday, 18 June, officers stopped a vehicle after it was seen being driven erratically in Arthur Road, SW19.
"The male driver of the vehicle - a black Mercedes C250 - made off on foot. Officers were unable to locate the man.
"At approximately 05:10 BST the body of a man fitting the same description was found on tracks near Wimbledon Park station."
London Ambulance Service medics were called but Maynard was pronounced dead at the scene.
British Transport Police (BTP) said the death was not being treated as suspicious.