An approximate solution for a general boosted Kerr-Newman black hole is derived from a BMS twisting metric, shown to satisfy Einstein equations up to 1/r^4, with analysis of horizons, ergosphere, and electromagnetic fields for a timelike observer.
Light-Like Boost of the Kerr Gravitational Field
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abstract
We describe light-like boosts of the Kerr gravitational field transverse and parallel to the symmetry axis. In the transverse case the boosted field is that of an impulsive gravitational wave having a line singularity displaced relative to its position if the rotation of the source were removed. The parallel boost is insensitive to the rotation of the source. The literature contains a number of diverse results for light-like boosts of the Kerr gravitational field. Our conclusions confirm the correctness of the limits calculated by Balasin and Nachbagauer [Class.and Quantum Grav.13(1996),731]. To avoid any ambiguity our approach is centered on evaluating the light-like boost of the Riemann tensor for the Kerr space-time with the metric playing a secondary role.
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General Boosted Black Holes: A First Approximation
An approximate solution for a general boosted Kerr-Newman black hole is derived from a BMS twisting metric, shown to satisfy Einstein equations up to 1/r^4, with analysis of horizons, ergosphere, and electromagnetic fields for a timelike observer.