Cook is battling a stiff back, while Pietersen only arrived in Australia on Sunday after being given compassionate leave following the death of a friend.
Wicketkeeper Matt Prior will captain the side in the absence of Cook, while Boyd Rankin, Steven Finn and Chris Tremlett will effectively engage in a bowl-off after all three fringe pacemen were selected.
Meanwhile, a batsman not considered good enough for Sheffield Shield has been given first crack at England in a move that could push his international limited overs claims.
Queensland's Chris Lynn was overlooked for this week's Shield opener against South Australia despite sealing back-to-back domestic one-day titles for the Bulls last Sunday.
However, Lynn was rewarded with selection in the WA Chairman's Invitational XI.
Bulls coach Stuart Law admitted Lynn was not quite ready for a Shield return but rated the big-hitting Bull as one of the nation's best in the shorter forms.
And Law believed he had a chance to "put his name up in lights" when national selectors monitored the England tour match.
"He's got a few technical things we can work on to improve his game for four-day cricket," ex-Test batsman Law said.
"But in T20 and one-dayers he is one of the better ones going around.
"He is one for the future.
"He has an opportunity this week to play against the Poms and if he does well there all he can do is put his name up in lights."
Lynn amassed 198 runs at 49.50 during the recent one-day tournament including his final turning 58 not out off 40 balls.
Needing 59 off the final six overs, Lynn hit the winning six with five deliveries to spare in an unbroken stand of 62 from 35 balls with Ben Cutting (41 not out off 21).
"From what I have heard it was probably easier to be out in the middle," Lynn said of their tense run chase.
"Some of the boys said it was hard to watch.
"When I was batting with Cutsy in the end I just told him `this is what we do, let's just have a bit of fun'."
His laidback attitude will come in handy when he looks to turn heads against England.
"Now I am fortunate enough to play the Poms. They are the best in the world (so) it's massive to be able to show my skills against them," he said.
Law believed the likes of Lynn, Cutting and Usman Khawaja may yet ensure the reigning one-day and T20 champions and Shield runners-up extend their Australian contingent past solitary Test quick Ryan Harris.
"Everyone keeps saying why don't we have anyone in the Australian cricket team," Law said.
"Individually we are not performing to allow us to get to the that level.
"Over the whole group no one is overachieving. We do enough to get by.
"We are starting to see that disappear and guys really stepping up to the plate."