egocentric vs self-centred

egocentric is a noun but self-centred is not a noun.

Word	Noun	Adjective	Verb	Adverb
egocentric	Yes	Yes	No	No
self-centred	No	Yes	No	No

As adjectives, egocentric and self-centred are synonyms defined as:

egocentric and self-centred: concerned chiefly or only with yourself and your advantage to the exclusion of others

Other synonyms of egocentric include egoistic, egoistical, self-centered, self-seeking, self-serving, selfish.

egocentric (noun)	self-centred (noun)
a self-centered person with little regard for others

egocentric (adjective)	self-centred (adjective)
concerned chiefly or only with yourself and your advantage to the exclusion of others	concerned chiefly or only with yourself and your advantage to the exclusion of others