Analysis of gravitational radiation generated by type D black holes with positive cosmological constant

Abstract

The criterion for existence of gravitational radiation at conformal infinity in the presence of a positive cosmological constant is applied to a general family of exact solutions representing generic (pairs of) black holes of algebraic type D. Our analysis shows that only accelerating black holes generate gravitational radiation measurable at infinity. This very satisfactory result confirms the goodness of the criterion. To that end, a new metric form of the family of exact type D black holes is constructed -- including any cosmological constant and a (double-aligned) non-null electromagnetic field -- whose expression is suitable for investigation of the asymptotic structure of this large family of spacetimes. The family depends on seven physical parameters, namely $m$, $a$, $l$, $\alpha$, $e$, $g$, and $\Lambda$ that characterize mass, specific angular momentum parameter, NUT parameter, acceleration, electric and magnetic charges, and the cosmological constant, respectively.

35 pages, 5 figures. v2: Some references added and typos corrected

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Cited by in corpus (6)

• Radiation in Fluid/Gravity and the Flat Limit
• Conical singularity in spacetimes with NUT is observer-dependent
• Various metric forms of all type D black holes and their application
• Nonperfect Carrollian Fluids Through Holography
• Dynamical axisymmetric compact objects in General Relativity
• Characterization of gravitational radiation at infinity with a cosmological constant