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Autore principale: Podolsky, Jiri
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2511.01029
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author Podolsky, Jiri
author_facet Podolsky, Jiri
contents Several recent results concerning the complete class of exact solutions to the Einstein-Maxwell-$Λ$ 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.
format Preprint
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institution arXiv
publishDate 2025
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spellingShingle Various metric forms of all type D black holes and their application
Podolsky, Jiri
General Relativity and Quantum Cosmology
Several recent results concerning the complete class of exact solutions to the Einstein-Maxwell-$Λ$ 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.
title Various metric forms of all type D black holes and their application
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.01029