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A new look at the Plebanski–Demianski family of solutions
preprint
posted on 2005-11-18, 15:51 authored by Jerry Griffiths, J. PodolskyThe 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 nonexpanding
type D solutions are also identified. All special cases are derived in a
simple and transparent way.
History
School
- Science
Department
- Mathematical Sciences
Pages
286519 bytesPublication date
2005Notes
This is a pre-print.Language
- en