Killing horizons around a uniformly accelerating and rotating particle

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Abstract
The structure of the Killing horizon surrounding a uniformly accelerating and rotating particle which is emitting gravitational radiation is investigated. When expressed in terms of a coordinate system which is rigidly fixed to the particle undergoing uniform acceleration, the two inner horizons and ergoregion are similar to the horizons and ergoregion in the Kerr solution. These compact surfaces are distorted by the acceleration, being elongated in the forward direction and contracted in the backward direction. In addition to the two horizons that are similar to the Kerr solution, there is an additional noncompact horizon and an additional ergoregion which are caused by the acceleration. In general, the two ergoregions are disjoint, but as the acceleration parameter is sufficiently increased these ergoregions coalesce. A further increase of the acceleration will cause the two outer horizons to become degenerate and the ergoregion to vanish. An increase in the rotation parameter causes effects similar to those in the Kerr metric.