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    Tidal Love numbers and the dynamical instability of AdS bubbles

    Gerui Chen1,2,6,*, Yu Tian3,4,†, and Hongbao Zhang2,5,‡

    • *Contact author: t20152277@csuft.edu.cn
    • †Contact author: ytian@ucas.ac.cn
    • ‡Contact author: hongbaozhang@bnu.edu.cn

    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 l=6 in the limit k→∞. The odd-parity TLNs are found to be negative, while the even-parity TLNs are positive for υs2=−1. As l increases, the tidal Love numbers approach zero. The TLNs of the even-parity sector up to order l=41 are also calculated over the entire parameter space of k, from 0 to ∞. We find that in the region where p/σ>0, an increasing number of TLNs become negative as l increases. For l=41, the highest order we have examined, the TLNs are negative everywhere except in a narrow region very close to the zero of p/σ, 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)].

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