The motion of a charged black hole in an electromagnetic field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Black Holes (Astronomy), Electric Fields, Stellar Motions, Acceleration (Physics), Astronomical Models, Asymptotic Methods, Perturbation Theory, Transformations (Mathematics)

Scientific paper

The motion of a charged black hole in a weak, asymptotically uniform electric field is analyzed by using the Hamiltonian formalism for coupled electromagnetic and gravitational perturbations of the Reissner-Nordstrom space-time. The hole is shown to accelerate with respect to a distant inertial observer according to Newton's law. The relation of the approximate solution obtained to the exact solution of Ernst, representing the charged C-metric without nodal singularity, is then clarified.

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