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Noncommutative quasinormal modes of Schwarzschild black hole

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arxiv 2409.01402 v4 pith:O5MQQH6N submitted 2024-09-02 gr-qc hep-th

Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić This is my paper · ORCID
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keywords noncommutativeaxialcalculatedisospectralitymodesorderpolarquasinormal
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abstract

We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. $r-\varphi$ and $r-t$ noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential geometric structures such as curvature tensors are also twisted. Noncommutative equations of motion are derived from the recently proposed NC vacuum Einstein equation. Here, in addition to previously calculated axial NC potential, we present the polar solution which generalizes the work done by Zerilli. Quasinormal mode frequencies of the two potentials are calculated using three methods: WKB, P\"oschl-Teller and Rosen-Morse. Notably, we apply the WKB method up to the 13th order and determine the optimal order for each noncommutative parameter value individually. Additionally, we provide comprehensive error estimations for the higher-order WKB calculations, offering insights into the accuracy of our results. By comparing the spectra, we conclude that the classical isospectrality of axial and polar modes is broken upon spacetime quantization. Isospectrality is restored in the eikonal limit.

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Cited by 4 Pith papers

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  1. Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    In dynamical Chern-Simons gravity, an environmental potential bump reshapes black hole quasinormal-mode spectra, producing branch reconnections, a delayed overtaking instability, and scalar-mode-dominated ringdown tha...

  2. Fermion quasinormal modes on modified RN background

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Charged massless fermion quasinormal modes in a noncommutatively deformed Reissner-Nordström black hole show a linear, azimuthal-quantum-number-dependent splitting of the complex mode frequencies.

  3. Noncommutative fields in Reissner-Nordstr\"{o}m black hole background

    hep-th 2025-05 conditional novelty 5.0 of 10

    First-order noncommutative electromagnetic perturbation equations in the Reissner-Nordström background are derived, and the dual-metric description that works for scalar and spinor fields is shown not to extend to the...

  4. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0 of 10

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

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