Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential

Abstract

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 asymptotically flat, asymptotically de Sitter or asymptotically anti-de Sitter solutions exist in these models.

23 pages, phyzzx, 1 Fig (available on request). Note added in proof

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