Comment on "AdS nonlinear instability: moving beyond spherical symmetry" [Class. Quantum Grav. 33 23LT01 (2016)]

TL;DR

This paper discusses how considering the spectrum degeneracy of linear perturbations in Anti-de Sitter space reveals the existence of regular, time-periodic solutions called geons, expanding understanding beyond spherical symmetry.

Contribution

It demonstrates that degeneracy in the linear spectrum leads to new, regular, time-periodic solutions bifurcating from each eigenfrequency in AdS space.

Findings

Existence of geons bifurcating from each linear eigenfrequency

Proper spectrum degeneracy consideration is crucial for these solutions

Geons are globally regular and asymptotically AdS

Abstract

We argue that if the degeneracy of the spectrum of linear perturbations of AdS is properly taken into account, there are globally regular, time-periodic, asymptotically AdS solutions (geons) bifurcating from each linear eigenfrequency of AdS.