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**Is EM theory in curved spacetime the same as "unification"?**

I am wanting to learn about classical EM theory in curved spacetime (just curious) and I found this old thread containing some references https://www.physicsforums.com/showthread.php?t=3950

quartodeciman said:The historical topic of unification of gravitation with electromagnetism in the Einstein direction takes one down a trail that hasn't survived the explosion of theory for fundamental physics since 1960. But for a while, it was almost Einstein and his associates alone who credibly pushed the idea of unification with gravitation. That was because of Einstein's enormous reputation

Is simply talking about the EM field in curved spacetime the same thing as unified theory? Isn't it valid to ask what the Maxwell equations look like in curved spacetime?

Anyway, I'd be interested if further recommended on this topic as well.