What was found
PILOT REPORTED DURING CLIMB OUT OF FL200 FOR FL210 NOTICED THE RT ENGINE EGT RISING. FELT A VIBRATION AND NOTICED THE OIL PRESSURE INDICATOR FLUCTUATING FROM GREEN TO YELLOW AND NOTICED THE TORQUE INDICATOR FLUCTUATING IN 400 FT/LBS INCREMENTS. CONDUCTED AN ENGINE SHUTDOWN, DECLARED AN EMERGENCY, RAN THE APPROPRIATE PRECAUTIONARY ENGINE SHUTDOWN CHECKLIST, AND RETURNED TO DEPARTURE. DURING ENGINE TEARDOWN, FOUND THE REAR TURBINE BEARING APPEARED TO HAVE FAILED, WHICH CAUSED INTERNAL TURBINE AND COMPRESSOR SHIFT AND RUB.