Gravitational solitons and the squashed 7-sphere Academic Article uri icon


  • 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 solution which has Spin(7) holonomy. All the solitonic spacetimes we consider are topologically, 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. 2007 IOP Publishing Ltd.

published proceedings


author list (cited authors)

  • Bizon, P., Chmaj, T., Gibbons, G. W., & Pope, C. N.

citation count

  • 9

publication date

  • September 2007