The Plebański–Demiański Class of Black Hole Space-Times

  • Arne GrenzebachEmail author
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


The Plebański–Demiański class contains stationary, axially symmetric type D solutions of the Einstein–Maxwell equations with a cosmological constant. It covers many well-known black hole space-times like the Schwarzschild, Kerr or the Kottler space-time. The space-times are characterized by seven parameters: mass, spin, electric and magnetic charge, gravitomagnetic NUT charge, a so-called acceleration parameter and the cosmological constant. We review space-time properties like symmetries and isometries as well as the appearance of singularities as ring singularities or axial singularities. Furthermore, we discuss horizons, the ergoregion and a region with causality violation.


Plebanski-Demianski Schwarzschild Kerr Kerr-Newman Reissner-Nordstroem NUT C-metric Metric tensor Boyer-Lindquist coordinates Space-time properties Symmetries Isometries Singularities Ring singularity Axial singularity Black hole horizon Ergoregion Causality violation Conformal factor 


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© The Author(s) 2016

Authors and Affiliations

  1. 1.ZARM—Zentrum für angewandte Raumfahrttechnologie und MikrogravitationUniversität BremenBremenGermany

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