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The behavior of black holes horizon and wormholes under the Weyl conformaltransformation is investigated. First, a shorter, but more general, derivationof the Weyl transformation of the simple prescription for detecting horizonsand wormholes given recently in the literature for spherically symmetricspacetimes is provided. The derivation allows for a simple and intuitive way tounderstand why and when horizons and wormholes might arise in the conformalframe even if they were absent in the original frame. Then, the conformalbehavior of black holes horizon and wormholes in more general spacetimes, basedon more "sophisticated" definitions, is provided. The study shows that blackholes and wormholes might always arise in the new frame even if they wereabsent in the original frame. Moreover, it is shown that some of thedefinitions found in the literature might be transformed into one another undersuch transformations. Worked-out examples are given.

Revisiting black holes and wormholes under Weyl transformations