1. Introduction.- 2. Relativistic Plasma Physics.- 3. Particle Trajectories in the Ergosphere.- 4. Vacuum Electrodynamics.- 5. Magnetically Dominated Time-Stationary Perfect MHD Winds.- 6. Perfect MHD Winds and Waves in the Ergosphere.- 7. Ergosphere Driven Winds.- 8. Ergospheric Disk Dynamos.- 9. Winds from Event Horizon Magnetospheres.- 10. Applications to the Theory of Extragalactic Radio Sources.- 11. NP Black Holes.- References.

A new branch of physics, black hole gravitohydromagnetics (GHM) is developed from the rudiments to the frontiers of research. GHM describes plasma interactions that combine the effects of gravity and a strong magnetic field, in the vicinity (ergosphere) of a rapidly rotating black hole. This topic was created in response to the astrophysical quest to understand the central engines of radio loud extragalactic radio sources. The theory describes a "torsional tug of war" between rotating ergospheric plasma and the distant asymptotic plasma that extracts the rotational inertia of the black hole.