A new look at the Plebanski-Demianski family of solutions

Details A new look at the Plebanski-Demianski family of solutions A new look at the Plebanski-Demianski family of solutions

2005-11-16

arxiv.org/abs/gr-qc/0511091v1

Int.J.Mod.Phys. D15 (2006) 335-370

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 2 figures. To appear in Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271806007742

The Plebanski-Demianski metric, and those that can be obtained from it by taking coordinate transformations in certain limits, include the complete family of space-times of type D with an aligned electromagnetic field and a possibly non-zero cosmological constant. Starting with a new form of the line element which is better suited both for physical interpretation and for identifying different subfamilies, we review this entire family of solutions. Our metric for the expanding case explicitly includes two parameters which represent the acceleration of the sources and the twist of the repeated principal null congruences, the twist being directly related to both the angular velocity of the sources and their NUT-like properties. The non-expanding type D solutions are also identified. All special cases are derived in a simple and transparent way.

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