Black hole electrodynamics and the Carter tetrad

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Black Holes (Astronomy), Electrodynamics, Electromagnetic Fields, Rotating Matter, Astronomical Models, Astrophysics, Kerr Effects, Tetrad Theory

Scientific paper

The Geroch-Held-Penrose (GHP, 1973) formalism for studying zero-rest-mass fields is outlined, and it is found that the Carter (1968) orthonomal tetrad is the natural physical frame to use outside the event horizon of a Kerr black hole when interpreting results given by the GHP formalism. A set of relatively simple Maxwell equations satisfied by Carter components of the black hole's electromagnetic field is obtained, and the behavior of the Carter field components in the neighborhood of the event horizon is studied. Boundary conditions satisfied by a force-free black-hole magnetosphere are derived, showing that the hole behaves like an imperfectly conducting rotating body. The Carter tetrad is employed to find the rate of energy and angular-momentum loss by a black hole to a vacuum electromagnetic field. These rates are explicitly calculated for a slowly rotating field that is uniform and oblique to the hole at large distances.

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