Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory

Abstract

A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit, the electric field, diagonal metric function and thermodynamic properties are the same as for static case, whereas the small rotation gives in addition a nondiagonal metric function and magnetic field which are also small. For these functions cased by rotation of black hole, exact integral solution and analytic asymptotic solution were obtained.