afterlife vs life-time

afterlife and life-time both are nouns.

Word	Noun	Adjective	Verb	Adverb
afterlife	Yes	No	No	No
life-time	Yes	No	No	No

As nouns, life-time is a hypernym of afterlife; that is, life-time is a word with a broader meaning than afterlife:

afterlife: life after death
life-time: the period during which something is functional (as between birth and death)

Other hypernyms of afterlife include life, lifespan, lifetime.

afterlife (noun)	life-time (noun)
life after death	the period during which something is functional (as between birth and death)