Tidal Love numbers of analog black holes

Tidal Love numbers quantify the conservative static response of compact objects to external tidal fields, and are found to vanish exactly for asymptotically flat black holes in four-dimensional general relativity. Many aspects of the physics of black holes have an analog in the theory of supersonic acoustic flows, including the existence of an event horizon and associated phenomena, such as quasinormal modes and superradiance. In this paper, we investigate the tidal Love numbers of acoustic black holes in different number of dimensions. We find that they exhibit a number of similar properties as higher-dimensional general relativistic black holes, such as logarithmic running with radial distance, and vanishing tidal response for special multipole moments. As a result, we show that the latter is a consequence of ladder symmetries, analogous to those identified for black holes.. Authors: De Luca, Valerio [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000214445372); Khek, Brandon [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0009000512614565); Khoury, Justin [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000220010076); Trodden, Mark [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000168646711). DOE Contract: SC0013528. Subjects: Classical black holes; Fluid-gravity correspondence; General relativity; Gravitational waves