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We examine Poynting flux generation due to pair plasma accreting onto aslowly rotating black hole. In particular, we consider the possibility of anoutgoing flux at the horizon. Our approach is based on a two-fluid modelrepresenting a collisionless pair plasma. In the background, the plasma inflowis neutral and radial along the magnetic field lines of a split monopole in aSchwarzschild spacetime. A combined mechanism of dragging by the black hole'sspin and the Lorentz force produces charge separation and current flow, andhence electric and toroidal magnetic fields. By WKB analysis, two classes ofsolutions of perturbation equations for small black hole spin are identified:one is related to inward flux, and the amplitude inwardly increases; the othergenerates an outward flux with a peak position around $r=3M$, tending to zeroat the horizon. The power induced by the two-fluid effect is inverselyproportional to plasma density, and is small in almost all astrophysicalsituations. A magnetic vacuum region is located elsewhere for effectivePoynting flux generation.

Electromagnetic power induced from pair plasma falling into a rotating black hole II: An extensive WKB analysis in the slow rotation case