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New metric useful for studies of gravitational radiation from accelerating black holes of type D with any cosmological constant

Institute of Theoretical Physics, Charles University, Faculty of Mathematics and Physics, V Holešovičkách 2, 18000 Prague 8, Czechia

^*Contact author: jiri.podolsky@matfyz.cuni.cz

Phys. Rev. D 114, 104018 – Published 4 November, 2026

DOI: https://doi.org/10.1103/8mb5-r82j

Abstract

We apply a convenient parametrization of all Plebański-Demiański black holes of algebraic type D with the Kerr rotation, NUT twist, acceleration, electric and magnetic charges, and any value of the cosmological constant $Λ$ , recently found by Astorino. This represents a complete class of exact solutions to the Einstein-Maxwell- $Λ$ equations such that the (non-null) electromagnetic field is aligned with both the (geodesic, shear-free, double) principal null directions of the Weyl tensor. We derive a novel appropriate metric form and the corresponding canonical frames naturally adapted to both the de Sitter-like ( $Λ > 0$ ) and the anti–de Sitter-like ( $Λ < 0$ ) conformal infinity, and we demonstrate that these geometric objects are useful for investigation of radiation properties. In particular, using the Fernández-Álvarez-Senovilla criterion, it confirms that the gravitational radiation is present if, and only if, these black holes are accelerating.

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References (30)

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New metric useful for studies of gravitational radiation from accelerating black holes of type D with any cosmological constant

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