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Noncommutative scalar field in the non-extremal Reissner-Nordstr\"om background: QNM spectrum

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arxiv 1904.04053 v1 pith:YKR25RN6 submitted 2019-04-08 hep-th gr-qc

Marija Dimitrijević Ćirić , Nikola Konjik , Andjelo Samsarov This is my paper · ORCID
classification hep-thgr-qc
keywords spectrumfieldmethodreissner-nordstrresultsscalaranalyticbackground
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In our previous work [18] we constructed a model of a noncommutative, charged and massive scalar field based on the angular twist. Then we used this model to analyze the motion of the scalar field in the Reissner-Nordstr\"om black hole background. In particular, we determined the QNM spectrum analytically in the near-extremal limit. To broaden our analysis, in this paper we apply a well defined numerical method, the continued fraction method and calculate the QNM spectrum for a non-extremal Reissner-Nordstr\"om black hole. To check the validity of our analytic calculations, we compare results of the continued fraction method in the near extremal limit with the analytic results obtained in the previous paper. We find that the results are in good agreement. For completeness, we also study the QNM spectrum in the WKB approximation.

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Cited by 3 Pith papers

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    A first-order Seiberg–Witten twist of the bulk gauge fields lowers the critical magnetic field of 3D and 4D holographic superconductors, Bc = Bc⁰(1 − Bc⁰ k̄), mimicking a stronger applied field B_eff = B(1+Bθ).

  2. Noncommutativity and the Weak Cosmic Censorship

    hep-th 2019-08 reject novelty 5.0 of 10

    Using a noncommutative duality, the authors claim that a high-energy scalar probe dresses a naked AdS3 singularity as a BTZ black hole, supporting weak cosmic censorship.

  3. Perturbations of Black Holes Surrounded by Anisotropic Matter Field

    gr-qc 2024-11 conditional novelty 4.0 of 10

    For a black hole with anisotropic matter hair, quasinormal mode frequencies shift monotonically with the matter strength K, and the shift also appears in shadow radius and grey-body factors.

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