English

Remarks on the quasinormal modes of Taub-NUT-AdS$_4$

General Relativity and Quantum Cosmology 2025-03-28 v1 High Energy Physics - Theory

Abstract

We present results for the numerical evaluation of scalar quasinormal modes in Taub-NUT-AdS4_4 spacetimes. To achieve this we consider angular modes that correspond to non-unitary highest weight SU(2)SU(2) representations since global regularity is not consistent with the presence of complex quasinormal modes. We show that for any non-zero value of the NUT charge nn there exists a region in the complex plane that contains only stable quasinormal modes. The radius of this region increases with the horizon distance and decreases with nn towards a constant value for infinite nn. We also find analytic and numerical evidence for the existence of a critical NUT charge ncrn_{cr} beyond which the lowest lying stable quasinormal modes become overdamped. Our results draw an intricate picture for the holographic fluid of Taub-NUT-AdS4_4.

Keywords

Cite

@article{arxiv.2503.21001,
  title  = {Remarks on the quasinormal modes of Taub-NUT-AdS$_4$},
  author = {Georgios Kalamakis and Anastasios C. Petkou},
  journal= {arXiv preprint arXiv:2503.21001},
  year   = {2025}
}

Comments

25 pages, 7 figures