Extremal Charged Rotating Dilaton Black Holes in Odd Dimensions

Understand

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant.

• Starting from the Myers-Perry solutions, we use the electric charge as the perturbative parameter, and focus on extremal black holes with equal-magnitude angular momenta in odd dimensions.
• We perform the perturbations up to 4th order for black holes in 5 dimensions and up to 3rd order in higher odd dimensions.
• We calculate the physical properties of these black holes and study their dependence on the charge and the dilaton coupling constant.