Abstract
In this paper, we analyse the global structure of the Bronnikov wormhole, which is the most general spherically-symmetric and static solution in Einstein gravity coupled to a free massless phantom scalar. We then introduce a scalar potential and construct a large class of exact solutions that can be viewed as generalizations of the Bronnikov wormhole. We study the global structure and classify the parameters of these new wormholes. For suitable parameters, some are regular black holes with a bouncing de Sitter spacetime inside the event horizon.
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