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

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

2006-02-13

arxiv.org/abs/gr-qc/0602045v1

Class.Quant.Grav. 23 (2006) 3951-3962

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures

Scientific paper

10.1088/0264-9381/23/11/017

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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