Various metric forms of all type D black holes and their application
arXiv:2511.01029 · doi:10.1088/1742-6596/3177/1/012012
Abstract
Several recent results concerning the complete class of exact solutions to the Einstein-Maxwell- equations of type D with a double-aligned electromagnetic field are summarized. This large class of spacetimes includes charged black holes with rotation, NUT parameter, and acceleration. In particular, we present their Plebanski-Demianski, Griffiths-Podolsky-Vratny, and Astorino metric representations, we discuss mutual relations between them, and demonstrate their usefulness for investigation of physical and geometrical properties (singularities, horizons, conformal diagrams, ergoregions, rotating strings causing the acceleration, thermodynamics). It includes the proof that such black holes emit gravitational radiation if, and only if, they accelerate. Very recent extension to type D black holes with non-aligned Maxwell field is also mentioned.
arXiv comment5 pages, 1 figure; contribution to the proceedings of GR24 / Amaldi16 (International Conference on General Relativity and Gravitation / Edoardo Amaldi Conference on Gravitational Waves) to be published in Journal of Physics: Conference Series
References in corpus (17)
- A new look at the Plebanski-Demianski family of solutions
- Accelerating and rotating black holes
- Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
- Accelerating Taub-NUT and Eguchi-Hanson solitons in four dimensions
- Accelerating NUT black holes
- New form of all black holes of type D with a cosmological constant
- Gravitational radiation condition at infinity with a positive cosmological constant
- Kerr black hole in a uniform Bertotti-Robinson magnetic field: An exact solution
- Plebanski-Demianski goes NUTs (to remove the Misner string)
- Accelerating and Charged Type I Black Holes
- New class of rotating charged black holes with nonaligned electromagnetic field
- Equivalence principle and generalised accelerating black holes from binary systems
- Revisiting black holes of algebraic type D with a cosmological constant
- Black holes of type D revisited: relating their various metric forms
- Analysis of gravitational radiation generated by type D black holes with positive cosmological constant
- Most general Type-D Black Hole and the Accelerating Reissner-Nordstrom-NUT-(A)dS solution
- Is the type-D NUT C-metric really "missing" from the most general Plebański-Demiański solution?