Extremal black holes in D=4 Gauss-Bonnet gravity

  title={Extremal black holes in D=4 Gauss-Bonnet gravity},
  author={Chiang-Mei Chen and Dmitri Gal’tsov and Dmitry G. Orlov},
  journal={Physical Review D},
We show that four-dimensional Einstein-Maxwell-dilaton-Gauss-Bonnet gravity admits asymptotically flat black hole solutions with a degenerate event horizon of the Reissner-Nordstr\"om type ${\mathrm{AdS}}_{2}\ifmmode\times\else\texttimes\fi{}{S}^{2}$. Such black holes exist for the dilaton coupling constant within the interval $0\ensuremath{\le}{a}^{2}l{a}_{\mathrm{cr}}^{2}$. Black holes must be endowed with an electric charge and (possibly) with magnetic charge (dyons) but they cannot be… 

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