A Note on the Instability of Lorentzian Taub-NUT-Space
arXiv:gr-qc/0602045 · doi:10.1088/0264-9381/23/11/017
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.
13 pages, no figures