EMB ERJ 170/175 ER/LR
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Distraction; Situational Awareness; Time Pressure
Aircraft Equipment Problem Critical
Aircraft Equipment Problem Dissipated
Aircraft
Took off normally on the SID out of ZZZ. On initial climb out the RA on both sides started indicating erratically. Despite being on course; positive rate of climb and flying over water; we got an oral 'Terrain'. I checked my instruments and before I could perform the escape maneuver; the RA started functioning normally and the warning ceased. Erratic RA. The RA had two previous write ups.In the future if I see recent RA write ups; I will brief actions in the event of an erroneous EGPWS.
ERJ175 Captain reported during climb out and over water the radio altimeters began to give a terrain warning.