Tidal Love numbers and the dynamical instability of AdS bubbles
Phys. Rev. D 113, 124057 – Published 15 June, 2026
DOI: https://doi.org/10.1103/gspx-65gz
Abstract
In this work, we study nonradial perturbations of AdS bubbles and their tidal Love numbers (TLNs). The odd- and even-parity TLNs are computed up to in the limit . The odd-parity TLNs are found to be negative, while the even-parity TLNs are positive for . As increases, the tidal Love numbers approach zero. The TLNs of the even-parity sector up to order are also calculated over the entire parameter space of , from 0 to . We find that in the region where , an increasing number of TLNs become negative as increases. For , the highest order we have examined, the TLNs are negative everywhere except in a narrow region very close to the zero of , which agrees well with the instability criterion in the eikonal limit for self-gravitating membranes proposed by Yang et al. [Phys. Rev. Lett. 130, 011402 (2023)].