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Chemical potential driven phase transition of black holes in anti–de Sitter space

Chemical potential driven phase transition of black holes in anti–de Sitter space

Einstein-Maxwell theory conformally coupled to a scalar field in $D$ dimensions may exhibit a phase transition at low temperature whose end point is an asymptotically anti--de Sitter black hole with a scalar field profile that is regular everywhere outside and on the horizon. This provides a tractable model to study …