Govind Menon

Analytic solutions to the constraint equation for a force-free magnetosphere around a Kerr black hole

The Blandford-Znajek constraint equation for a stationary, axisymmetric black hole force-free magnetosphere is cast in a 3+1 absolute space and time formulation, following the work of Komissarov. We derive an analytic solution for fields and currents to the constraint equation in the far-field limit that satisfies the Znajek condition at the event horizon. This solution generalizes the Blandford-Znajek monopole solution for a slowly rotating black hole to black holes with arbitrary angular momentum. Energy and angular momentum extraction through this solution occurs mostly along the equatorial plane. We also present a nonphysical, reverse-jet-like solution.

A class of exact solutions to the force-free, axisymetric, stationary magnetosphere of a Kerr black hole

We analyze the constraint equation giving allowed solutions describing fields and currents in a force-free magnetosphere around a rotating black hole. Utilizing the divergence properties of the energy and angular-momentum fluxes for physically allowed solutions, we conclude that poloidal surfaces are independent of the radial coordinate for large values of

Jet formation in the magnetospheres of supermassive black holes: analytic solutions describing energy loss through Blandford–Znajek processes

r

Timelike Geodesic Currents in the Stationary, Axisymmetric, Force-free Magnetosphere of a Kerr Black Hole

. Using this fact and the Znajek regularity condition, we explicitly derive all possible exact solutions admitted by the constraint equation for

Force-free currents and the Newman-Penrose tetrad of a Kerr black hole: Exact local solutions

r

Local, non-geodesic, timelike currents in the force-free magnetosphere of a Kerr black hole

independent poloidal surfaces, which are given in terms of the electromagnetic angular velocity function

A Charged Erez-Rosen Spacetime and Gravitational Repulsion

\Omega = 1/a\sin^2\theta

Conformal fluctuations of the interior Schwarzschild solution

, where

High Energy Radiation from Black Holes: Gamma Rays, Cosmic Rays, and Neutrinos

a

On Krein's Formula in the Case of Non-densely Defined Symmetric Operators☆

is the angular momentum per unit mass of the black hole.