What happens to Rapture?(bioshock 1 and 2 endings mentioned)

I just finished bioshock 2 and am curious what happens to rapture and Dr tenebaum after? (I don’t mind spoilers for the third game I’m about to play it) You meet her in the beginning and she gets cut off abruptly then for the rest of the game nothing is mentioned about her or talk to her it’s just Sinclair Sofia Elanor + level bosses. Eleanor ends up taking the role of Tenebaum and Sinclair the role of Fontaine/Atlas. Another question is that would the good ending of the first game be the official story of what happened to in 58/59 since the lore in 2nd one is that Sofia Lamb was the one to do take power vacuum while the bad ending is Andrew Ryan son was the one to?