The linear instability conjecture for the Einstein CLW metric

The Einstein CLW metric is a distinguished Einstein metric arising in the context above. A conformal perturbation means a variation of the metric obtained by multiplying it infinitesimally by a scalar function. The Einstein CLW instability conjecture. The Einstein CLW metric is linearly unstable and can be destabilised by a conformal perturbation. The claim is presented as being supported by numerical evidence from the stability criteria involving the Lichnerowicz and scalar Laplacians; no proof or resolution is supplied here.