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Scalar tidal response of a rotating BTZ black hole

General Relativity and Quantum Cosmology 2024-12-03 v2 High Energy Physics - Theory

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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Cite

@article{arxiv.2407.09470,
  title  = {Scalar tidal response of a rotating BTZ black hole},
  author = {Rajendra Prasad Bhatt and Chiranjeeb Singha},
  journal= {arXiv preprint arXiv:2407.09470},
  year   = {2024}
}

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17 pages