What was found
DURING CLIMB, NR 4 ENGINE OIL PRESSURE INCREASED TO 61 PSI MOMENTARILY AND THEN DROPPED TO 59 PSI WITH MAXIMUM POWER SET FOR TAKEOFF. REDUCED POWER TO MCT AND OIL PRESSURE DROPPED TO 53 PSI AND THEN BEGAN TO INCREASE. ENGINE WAS SHUTDOWN WHEN THE OIL PRESSURE INDICATED 64 PSI. ENGINE MAINTAINED POSITIVE OIL PRESSURE FOR REMAINDER OF FLIGHT. REPLACED THE NR 4 ENGINE OIL PRESSURE TRANSMITTER. GROUND RAN ENGINE AND ADJUSTED THE OIL PRESSURE. OIL PRESSURE INDICATION CHECKED GOOD AT TAKEOFF AND IDLE POWER SETTINGS IAW DC8 MM.