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

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arxiv 0910.1170 v2 pith:KYMXGP2Z submitted 2009-10-07 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords blackholesolitonperturbationstaub-nutanalyticalasymptoticallybianchi
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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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  1. Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.

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