On the Blandford - Znajek mechanism of the energy loss of a rotating black hole

TL;DR

This paper analyzes the structure of a rotating black hole's magnetosphere using the Grad-Shafranov approach, showing that energy loss depends on particle creation region parameters rather than horizon boundary conditions.

Contribution

It demonstrates that the angular velocity and electric current in the black hole magnetosphere are determined by the pair creation region, providing new insights into the Blandford-Znajek mechanism.

Findings

Energy loss depends on particle creation region parameters.

The number of boundary conditions is sufficient to determine flow properties.

The angular velocity of the flow is a solution to the problem.

Abstract

The Grad--Shafranov approach to the problem of the structure of the black hole magnetosphere is discussed. For the double transonic flow, the number of boundary conditions in the pair creation region is shown to be sufficient to determine not only the longitudinal electric current, but also the angular velocity of a flow as a solution to a problem. As a result, the energy loss is determined by the physical parameters at the particle creation region rather than the "boundary conditions" at the event horizon.