What was found
WHILE CLIMBING THROUGH 15,000', BOTH RED MWS LIGHTS STARTED FLASHING FOLLOWED BY REAR BAY OVERHEAT LIGHT. INITIALLY REDUCED CLIMB & REDUCED POWER. AS POWER REDUCED, REAR BAY OVERHEAT LIGHT EXTINGUISHED. NO VISIBLE SMOKE OR ODOR IN COCKPIT OR CABIN. PERFORMED APPROPRIATE QRC CHECKLIST & DECLARED EMERGENCY. RETURNED SAFELY. UPON POST FLIGHT INSPECTION, SLIGHT BURNED ODOR NOTICED IN REAR EQUIPMENT BAY. PERFORMED PRELIMINARY VISUAL INSPECTION OF ALL BLEED LINES & BLEED LEAK DETECTORS IN AFT SERVICE COMPARTMENT. FOUND NO EVIDENCE OF A BLEED LEAK. PERFORMED ENG RUNS & INSPECTED BLEED LINES. R & R SLEEVE HOUSING IAW AMM 21-60-67 & IPC ON 21-10-05-30 PG 0. PERFORMED HIGH POWER ENG RUNS. OPERATIONS CHECK &