As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
RETURNED TO FIELD DUE TO THE TAIL PIPE HOT LIGHT ILLUMINATED ON CLIMB ABOUT 6000 FT. THE CREW FOLLOWED THE QRH CHECK LIST AND SHUT THE LEFT ENGINE DOWN AND RETURNED TO SYR. EMERGENCY WAS DECLARED. PASSENGERS WERE NOTIFIED OF THE EMERGENCY. FLIGHT LANDED WITHOUT FURTHER INCIDENT. FOUND LOOSE AND CONTAMINATED CONNECTOR. CLEANED AND RE-SECURED CONNECTOR, RE-INSTALLED EXHAUST CONE.