We derive the global properties of static spherically symmetric solutions to the Einstein-Maxwell-dilaton system in the presence of an arbitrary exponential dilaton potential. We show that, with the exception of a pure cosmological constant ``potential,'' no asymptocally flat, asymptotically de Sitter, or asymptotically anti--de Sitter solutions exist in these models.
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Poletti et al. (1994) studied this question.
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