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The Kerr–Newman–(anti-)de Sitter spacetime: Extremal configurations and electrogeodesics

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Abstract

We study motion of charged test particles, or electrogeodesics, in the Kerr–Newman–(anti-)de Sitter spacetime. We focus on the equatorial plane and the axis of symmetry where the analysis is considerably simpler. The electric charge opens up the possibility of new types of trajectories, particularly stationary points where the particle can remain indefinitely. It also influences the stability of the orbits, which can be interesting from the point of view of observations. We review the basic properties of the spacetime—the structure of its horizons, the extremal cases, the possibility of over-extreme rotation, regions admitting closed timelike curves, and the turnaround radius, among other.

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Notes

  1. There is a typo in [9]: the inclusion of a non-zero cosmological constant in the Kerr–Newman solution does require the four-potential to be divided by \(\varXi (\varLambda )\).

  2. We generally prefer to keep \(\varLambda \) as a free parameter because, from the astrophysical point of view, its value is known and fixed for all black holes.

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Acknowledgements

J.V. was supported by Charles University, Project GA UK 80918. M.Ž. acknowledges support by GACR 17-13525S.

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  1. Faculty of Mathematics and Physics, Institute of Theoretical Physics, Charles University, Prague, Czech Republic

    Jiří Veselý & Martin Žofka

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  1. Jiří Veselý
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Veselý, J., Žofka, M. The Kerr–Newman–(anti-)de Sitter spacetime: Extremal configurations and electrogeodesics. Gen Relativ Gravit 51, 156 (2019). https://doi.org/10.1007/s10714-019-2639-6

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