Gravitational Solitons and the Squashed Seven-Sphere

Details Gravitational Solitons and the Squashed Seven-Sphere Gravitational Solitons and the Squashed Seven-Sphere

2007-01-19

arxiv.org/abs/hep-th/0701190v2

Class.Quant.Grav.24:4751-4776,2007

Physics

High Energy Physics

High Energy Physics - Theory

Minor typos corrected

Scientific paper

10.1088/0264-9381/24/18/013

We discuss some aspects of higher-dimensional gravitational solitons and kinks, including in particular their stability. We illustrate our discussion with the examples of (non-BPS) higher-dimensional Taub-NUT solutions as the spatial metrics in (6+1) and (8+1) dimensions. We find them to be stable against small but non-infinitesimal disturbances, but unstable against large ones, which can lead to black-hole formation. In (8+1) dimensions we find a continuous non-BPS family of asymptotically-conical solitons connecting a previously-known kink metric with the supersymmetric A_8 solution which has Spin(7) holonomy. All the solitonic spacetimes we consider are topologcally, but not geometrically, trivial. In an appendix we use the techniques developed in the paper to establish the linear stability of five-dimensional Myers-Perry black holes with equal angular momenta against cohomogeneity-2 perturbations.

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