The musician collapsed and died from a heart attack after Starship opened up a show for Boston and Survivor in Norfolk, Nebraska on Sunday (September 2).
Starship's manager Scott Harrison told The AP that Abrahamian had "been having chest pains for a while", but had not frequently been complaining about ill health.
"It's a shock to everyone," Harrison commented.
Abrahamian joined the current incarnation of Starship in 2000. Mickey Thomas is the sole remaining member of the 1980s lineup still in Starship.
Starship are next scheduled to perform on September 7 in Kansas City, MO, but it is not clear if they will honour that date at this time.
Abrahamian is survived by his fiancée, whom he had planned to marry in Hawaii in December.
Watch Starship perform 'Nothing's Gonna Stop Us Now' below: