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Static charged black holes in (2+1)-dimensional dilaton gravity

Static charged black holes in (2+1)-dimensional dilaton gravity

A one parameter family of static charged black hole solutions in (2+1)-dimensional general relativity minimally coupled to a dilaton \ensuremath{\varphi}\ensuremath{\propto}ln(r/\ensuremath{\beta}) with a potential term ${\mathit{e}}^{\mathit{b}\mathrm{\ensuremath{\varphi}}}$\ensuremath{\Lambda} is obtained. Their causal structures are investigated, and the thermodynamical temperature and entropy are computed. One particular black hole in the family has the same …