Kundt and Robinson-Trautman spacetimes in higher dimensions

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• Jiri Podolsky, Charles University
• Friday 06 May 2011, 13:00-14:00
• Pavilion B Potter Room (B1.19).

If you have a question about this talk, please contact David Kubiznak.

We summarize general metrics of the Kundt and Robinson-Trautman classes of spacetimes in higher dimensions. Geometrically, they admit a non-twisting, non-shearing and either non-expanding or expanding geodesic null congruence, respectively. We discuss possible algebraic types and main geometric constraints imposed by field equations. We explicitly derive and study the corresponding Einstein-Maxwell equations, including an arbitrary cosmological constant, in the case of vacuum, with an aligned electromagnetic field, or pure radiation.

We introduce canonical subclasses and we identify the most important special cases, namely generalized pp-waves, VSI or CSI spacetimes and gyratons in the Kundt family, and generalized Reissner-Nordstrom-de Sitter black holes in the Robinson-Trautman family. We also argue that there is no analogue of the C-metric in the higher-dimensional Robinson-Trautman (electro)vacuum class, but there is an interesting family of pure radiation metrics of this type with represent Kinnersley photon rockets accelerating arbitrarily in any dimension.

This talk is part of the DAMTP Friday GR Seminar series.

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