Christer \ch-ris-ter, chr(i)-ster\ as a boy's name is a variant of Christian (Latin), and the meaning of Christer is "follower of Christ".
The baby name Christer sounds like Krister, Cristen, Christy, Christos, Christo, Christie, Christan, Christofer and Christof. Other similar baby names are Chester, Chrestien, Christopher, Christoph, Christoffer, Forster and Forester.