References & Citations
General Relativity and Quantum Cosmology
Title: Standing wave in perturbed anti-de Sitter spacetimes with a naked singularity
(Submitted on 24 Apr 2024 (v1), last revised 10 May 2024 (this version, v2))
Abstract: In the framework of black hole perturbation theory, this work investigates the standing wave solutions in Reissner-Nordtsr\"om (RN) anti-de Sitter (AdS) spacetimes with a naked singularity. These solutions can be viewed as a specific class of quasinormal modes exhibiting distinct characteristics. The imaginary parts of their frequencies are numerically vanishing, allowing them to persist over an extended period. Besides, these modes are predominantly stationary in terms of the evolution of spacetime waveforms. The numerical calculations are carried out employing the finite difference method, and the quasinormal frequencies extracted by the Prony method are shown to be consistent with those obtained using the matrix method. The obtained waveforms and quasinormal frequencies are shown to be drastically different from those of an extreme RN-AdS black hole. As the quasinormal modes are primarily dissipative, the non-dissipative standing waves are attributed to the nature that the singularity can neither be a sink nor a source of the gravitational system.
Submission history
From: Wei-Liang Qian [view email][v1] Wed, 24 Apr 2024 23:53:48 GMT (3815kb)
[v2] Fri, 10 May 2024 15:06:38 GMT (3815kb)
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