Speaker
Description
In this talk, I will first discuss the tidal response of rotating BTZ black holes to scalar perturbations, showing that the real part of the response function is non-zero and therefore leads to finite tidal Love numbers (TLNs). The response also exhibits scale-dependent logarithmic running. Extremal rotating BTZ black holes show qualitatively similar behaviour, and I will outline a procedure to compute the tidal response for charged rotating BTZ spacetimes as well.
Motivated by the vanishing static TLNs of four-dimensional vacuum black holes in general relativity, I will then explore tidal deformation in higher-curvature gravity theories. In pure Lovelock gravity, static TLNs vanish in certain cases, extending the four-dimensional result to specific higher-dimensional scenarios. In contrast, black holes in Einstein–Gauss–Bonnet gravity generally possess non-zero TLNs, whose magnitude depends on the Gauss–Bonnet coupling. These results emphasize the strong dependence of black hole tidal response on both spacetime dimensionality and the underlying theory of gravity.