Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
arXiv:2105.09800 · doi:10.1007/JHEP11(2021)058
Abstract
Einstein-Maxwell-dilaton theory with non-trivial dilaton potential is known to admit asymptotically flat and (Anti-)de Sitter charged black hole solutions. We investigate the conditions for the presence of horizons as function of the parameters mass , charge and dilaton coupling strength . We observe that there is a value of which separate two regions, one where the black hole is Reissner-Nordström-like from a region where it is Schwarzschild-like. We find that for de Sitter and small non-vanishing , the extremal case is not reached by the solution. We also discuss the attractive or repulsive nature of the leading long distance interaction between two such black holes, or a test particle and one black hole, from a world-line effective field theory point of view. Finally, we discuss possible modifications of the Weak Gravity Conjecture in the presence of both a dilatonic coupling and a cosmological constant.
arXiv comment40 pages, 6 figures. Matches the published version: one typo corrected and one paragraph added for clarifications
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