[a_c_s]

push internet should not do that...it is an idle connection...I have push gmail on via flexmail all day long and if I had to describe my phone I'd actually call it cold to the touch moreso than warm...I would say that you either inadvertently have something running in the background (check with a good taskmgr) or you possibly have a defective battery or phone...granted I'm on sprint but shouldn't be much different as they're on similar type networks...barring that, could be a battery issue, OS corruption, or hardware issue...are you running on stock and stock radio??