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A Note on the Instability of Lorentzian Taub-NUT-Space

Gustav Holzegel
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Abstract

I show that there are no SU(2)-invariant (time-dependent) tensorial perturbations of Lorentzian Taub-NUT space. It follows that the spacetime is unstable at the linear level against generic perturbations. I speculate that this fact is responsible for so far unsuccessful attempts to define a sensible thermodynamics for NUT-charged spacetimes.

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Gustav Holzegel. 2006-02-13. A Note on the Instability of Lorentzian Taub-NUT-Space. https://doi.org/10.1088/0264-9381%2F23%2F11%2F017

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