<p>We propose a general framework for the study of asymptotically flat spinning dyonic <i>extremal</i> black holes (eBHs) in <i>D</i> = 4 Einstein-Maxwell-dilaton theory. Restricting to the stringy value <i>γ</i> = 1 of the dilaton coupling constant, we report on the existence of a one parameter family of eBHs which are free of pathologies, provided their magnetic and electric charges are equal. An understanding of this condition is found from a study of the near horizon limit of the solutions, both perturbative closed form and numerical solutions being presented.</p>

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Spinning extremal dyonic black holes in γ = 1 Einstein-Maxwell-dilaton theory

  • Jose Luis Blázquez-Salcedo,
  • Carlos Herdeiro,
  • Eugen Radu,
  • Etevaldo dos Santos Costa Filho,
  • Kunihito Uzawa

摘要

We propose a general framework for the study of asymptotically flat spinning dyonic extremal black holes (eBHs) in D = 4 Einstein-Maxwell-dilaton theory. Restricting to the stringy value γ = 1 of the dilaton coupling constant, we report on the existence of a one parameter family of eBHs which are free of pathologies, provided their magnetic and electric charges are equal. An understanding of this condition is found from a study of the near horizon limit of the solutions, both perturbative closed form and numerical solutions being presented.