Scalar Tidal Response of a Rotating BTZ Black Hole

We investigate the response of a rotating BTZ black hole to
scalar tidal perturbations. Our results demonstrate that the real
component of the tidal response function is non-zero, indicating that
rotating BTZ black holes possess non-zero tidal Love numbers. Furthermore,
we identify a scale-dependent behavior—commonly referred to as
log-running—in the tidal response function. A separate analysis of the
extremal rotating BTZ black hole reveals qualitative similarities with its
non-extremal counterpart. Additionally, we outline a procedure for
calculating the tidal response function for a charged rotating BTZ black
hole.