Tidal Love numbers and the dynamical instability of AdS bubbles

Gerui Chen; Yu Tian; Hongbao Zhang

doi:10.1103/gspx-65gz

paper

Tidal Love numbers and the dynamical instability of AdS bubbles

arXiv:2606.13014 · doi:10.1103/gspx-65gz

Abstract

In this work, we study non-radial 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 $k \to \infty$ . The odd-parity TLNs are found to be negative, while the even-parity TLNs are positive for $υ_{s}^{2} = - 1$ . 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 $\infty$ . 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 {\it et al.}\ [P. R. L. {\bf 130}, 011402 (2023)].

13 pages, 4 figures, version to appear in PRD

Tidal Love numbers and the dynamical instability of AdS bubbles

Abstract

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