Scalar tidal response of a rotating BTZ black hole

TL;DR

This paper investigates the scalar tidal response of rotating BTZ black holes, revealing non-zero tidal Love numbers, scale-dependent effects, and extending analysis to extremal and charged cases.

Contribution

It demonstrates that rotating BTZ black holes have non-zero tidal Love numbers and introduces a method to compute tidal responses for charged rotating BTZ black holes.

Findings

Rotating BTZ black holes have non-zero tidal Love numbers.

The tidal response function exhibits log-running behaviour.

Qualitative similarities found between extremal and non-extremal BTZ black holes.

Abstract

We study the response of a rotating BTZ black hole to the scalar tidal perturbation. We show that the real component of the tidal response function isn't zero, indicating that a rotating BTZ black hole possesses non-zero tidal Love numbers. Additionally, we observe scale-dependent behaviour, known as log-running, in the tidal response function. We also conduct a separate analysis on an extremal rotating BTZ black hole, finding qualitative similarities with its non-extremal counterpart. In addition, we present a procedure to calculate the tidal response function of a charged rotating BTZ black hole as well.