The Collaborative International Dictionary of English v.0.48:

Self-centered \Self`-cen"tered\, Self-centred \Self`-cen"tred\,
   a.
   1. Centered in itself, or in one's self.
      [1913 Webster]

            There hangs the ball of earth and water mixt,
            Self-centered and unmoved.            --Dryden.
      [1913 Webster]

   2. interested solely or primiarily in oneself, or one's own
      welfare; disinclined to consider the interests of others;
      selfish; egotistical.
      [PJC] Self-centering

WordNet (r) 3.0 (2006):

self-centred
    adj 1: limited to or caring only about yourself and your own
           needs [syn: egoistic, egoistical, egocentric,
           self-centered, self-centred] [ant: altruistic,
           selfless]