England have stuck with the same 12-man squad for the fourth Ashes Test, starting at Trent Bridge on Thursday.
Vaughan's team came within a wicket of a second successive win
They have decided not to make any changes despite concerns about the form of wicket-keeper Geraint Jones and bowler Matthew Hoggard.
And Hampshire seamer Chris Tremlett, unused so far, continues in the squad although he has had an injection to ease a knee problem.
The best-of-five series is currently tied at 1-1 with just two Tests left.
Chairman of selectors David Graveney said: "We are playing some good cricket at present and there is a positive vibe about the team which I am sure the players will be keen to take into the next Test match.
"The last two Tests have been extraordinary games which have really captured the imagination of the sporting public and produced scenes around the ground reminiscent of The Oval in 2000 against the West Indies.
"But back-to-back Tests are also mentally and physically draining for both teams and we are very grateful to the counties for agreeing to Duncan Fletcher's request that our players should be rested from domestic cricket ahead of the Trent Bridge Test."
He backed under-fire keeper Jones by telling BBC Radio Five Live's Sportsweek programme: "I thought he responded brilliantly - he had a tough period of time as far as the media is concerned when there was only an hour's play so his errors got a lot of attention.
"But that goes with the territory and the way he responded with the bat, the way he played setting up the declaration, and also I have a very vivid memory of his brilliant reaction catch to get rid of Shane Warne."
And he believes Trent Bridge in Nottingham has a reputation for swing which would suit Hoggard and Simon Jones down to the ground.
Hoggard has claimed only seven wickets during the first three Tests and was given only 32 overs in the back-to-back Tests in Birmingham and Manchester.
Graveney said: "Trent Bridge suits more conventional swing and it will reverse swing too later in the match."
Australia won the first Test at Lord's by 239 runs, England hit back in the second Test at Edgbaston with a two-run win and the third Test at Old Trafford was a nailbiting draw.
England squad: MP Vaughan (Yorkshire, capt), ME Trescothick (Somerset), AJ Strauss (Middlesex), IR Bell (Warwickshire), KP Pietersen (Hampshire), A Flintoff (Lancashire), GO Jones (Kent, wkt), AF Giles (Warwickshire), MJ Hoggard (Yorkshire), SP Jones (Glamorgan), SJ Harmison (Durham), CT Tremlett (Hampshire).