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

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

References in corpus (6)

• Black Hole Entropy is Noether Charge
• Gravitational instability in higher dimensions
• Physical interpretation of NUT solution
• Nuttier (A)dS Black Holes in Higher Dimensions
• Breakdown of the Entropy/Area Relationship for NUT-charged Spacetimes
• On the Thermodynamics of NUT charged spaces

Cited by in corpus (16)

• Thermodynamics of Lorentzian Taub-NUT spacetimes
• NUT wormholes
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• The First Law for Rotating NUTs
• The Disjointed Thermodynamics of Rotating Black Holes With a NUT Twist
• First law of black hole thermodynamics and the weak cosmic censorship conjecture for Kerr-Newman Taub-NUT black holes
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• Primordial Black Holes having Gravitomagnetic Monopole
• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• Immirzi parameter and Noether charges in first order gravity
• Quasinormal modes of NUT-charged black branes in the AdS/CFT correspondence
• Area (or entropy) products for Newman-Unti-Tamburino class of Black Holes
• A proof of the Geroch-Horowitz-Penrose formulation of the strong cosmic censor conjecture motivated by computability theory
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• Conformally related vacuum gravitational waves, and their symmetries
• Circular Orbits in the Taub-NUT and mass-less Taub-NUT Space-time