AN OPEN LOGBOOK ITEM LEADS TO AN FAA RPT AND INVESTIGATION.

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APU OVERSPD WARNING LIGHT CAME ON IN CLT BEFORE TKOF. WE WERE #2 FOR DEP. THIS IS A PROB THAT CAN NORMALLY BE CORRECTED BY RESETTING THE SWITCH IN E AND E SECTION UNDER ACFT. WE WOULD HAVE IT LOOKED AT IN DFW (OUR DEST ARPT) LATE ARR IN DFW. THE PUSH IS FOR A QUICK TURN. OPS NOTIFIED OF NEED FOR AIRSTART OUTBOUND. NO MAINT EXCEPT CONTRACT MAINT IN DFW. THIS WOULD LEAD TO AT LEAST 1 HR DELAY. CAPT ELECTS TO TAKE PLANE TO PIT (OUR NEXT DEST) WHERE FULL MAINT CAN BE PROVIDED. I'M UNDER IMPRESSION THAT CAPT CLRED THIS MATTER WITH MAINT CTL AND OBTAINED VERBAL MEL (THE FAA IS RIDING JUMPSEAT). I DID NOT LEARN UNTIL A FEW NIGHTS AGO THAT HE DID NOT; AND FAA WROTE A RPT ON THIS. I ACCEPT PART BLAME; AS I WAS A CREW MEMBER AND SHOULD HAVE QUESTIONED THE CAPT ON THIS WRITE UP OR CHKED THE STATUS OF THE LOGBOOK. COCKPIT RESOURCE MGMNT IS TEACHING CREW MEMBERS TO PARTICIPATE MORE IN THESE TYPES OF PROCS; BUT I TRULY THOUGHT THE CAPT WOULD FOLLOW POLICY STRICTLY WITH FAA LOOKING OVER BOTH SHOULDERS. PERHAPS HE DID NOT KNOW THIS OR MAYBE HE WASN'T THINKING AT THE TIME. I SHOULD HAVE PARTICIPATED MORE IN THE DECISION TO FLY TO PIT WITH THIS 'OPEN MAINT ITEM.'