Carter also grabbed a game-high 10 rebounds, notching a double-double for the Monarchs (4-3). Gerald Lee added 11 points and two blocks.
Philip Branch scored a game-high 15 points, including hitting 5 of 11 3-point attempts, to lead the Eagles (0-11).
The Monarchs shot 57.6 percent from the field (19 of 33) in the first half, earning them a 41-19 halftime lead. The Eagles were just 1 of 10 from beyond the arc in the opening half.
Old Dominion outrebounded N.C. Central 46-25 in the contest, and got 30 bench points compared to nine for the Eagles to help seal the victory.
N.C. Central is now 4-37 since transitioning to Division I to start the 2007-2008 season.