Dr Harris said he would review the case in three months and did not set a date for a future hearing. The veteran pilot, who had 25 years' experience, had flown as an air ambulance pilot and in several films during his career including Oscar-winning Saving Private Ryan and Tomb Raider II.
Mr Barnes, from Berkshire, has been described as "a good guy" who was "full of life and great fun". He was born in Nottingham on December 9 1962 and was single, the inquest heard.
Pedestrian Matthew Wood, 39, from Sutton, Surrey, was also killed in the tragedy as he walked to work. He died from severe burns and a leg injury, a post-mortem examination revealed last week.
Neighbour Yvonne Humphries said he was a "lovely, cuddly teddy bear", and his sister, Amanda Wood, said he was a "big guy with a big heart" who doted on his godson, his brother Darren's child.
The coroner did not set a date for the opening of the inquest into Mr Wood's death.