Nonlinear stability of the Taub-NUT soliton in 6+1 dimensions

Details Nonlinear stability of the Taub-NUT soliton in 6+1 dimensions Nonlinear stability of the Taub-NUT soliton in 6+1 dimensions

2009-10-07

arxiv.org/abs/0910.1170v2

Class.Quant.Grav.27:145002,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 5 figures

Scientific paper

10.1088/0264-9381/27/14/145002

Using mixed numerical and analytical methods we give evidence that the 6+1 dimensional Taub-NUT soliton is asymptotically nonlinearly stable against small perturbations preserving biaxial Bianchi IX symmetry. We also show that for sufficiently strong perturbations the soliton collapses to a warped black hole. Since this black hole solution is not known in closed form, for completeness of the exposition we prove its existence and determine its properties. In particular, the mass of the black hole is computed.

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