What types of stars do not have a CHZ/Goldilocks zone?

Most stars have a continuously habitable zone (CHZ), but I'm specifically trying to think up ones that do not. Aside from pulsars and black dwarfs (theoretical, as the universe isn't old enough to have one yet, but included both for argument's sake and because this is for a sci-fi setting), can you think of any types of stars that would havd a 0 CMZ?

Edit: corrected CHZ to reflect what I am more appropriately looking for. Continuous means the star lives long enough to support complex life and that the zone remains habitable throughout the star's main-sequence life span.

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What types of stars do not have a CHZ/Goldilocks zone?

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