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arXiv · 2407.09470

Scalar tidal response of a rotating BTZ black hole

Rajendra Prasad Bhatt·Chiranjeeb Singha
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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.

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Rajendra Prasad Bhatt, Chiranjeeb Singha. 2024-07-12. Scalar tidal response of a rotating BTZ black hole. https://doi.org/10.1007/jhep11(2024)154

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