Asymptotically anti–de Sitter spacetimes and scalar fields with a logarithmic branch
Asymptotically anti–de Sitter spacetimes and scalar fields with a logarithmic branch
We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in $D>~3$ dimensions. It is shown that the asymptotic behavior of the metric has a slower fall-off than that of pure gravity with a localized distribution of matter, …