Noncommutative quasinormal modes of Schwarzschild black hole
arXiv:2409.01402 · doi:10.1007/JHEP05(2025)083
Abstract
We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. and 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, Pöschl-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.
arXiv comment38 pages, 6 figures, 23 tables; improved version, typos corrected, references added
References in corpus (52)
- Quasinormal modes of black holes and black branes
- The quantum structure of spacetime at the Planck scale and quantum fields
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Is the gravitational-wave ringdown a probe of the event horizon?
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Can environmental effects spoil precision gravitational-wave astrophysics?
- A Gravity Theory on Noncommutative Spaces
- Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasinormal modes of black holes. The improved semianalytic approach
- Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
- Noncommutative Geometry and Gravity
- Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
- Parametrized black hole quasinormal ringdown. I. Decoupled equations for nonrotating black holes
- Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
- Black hole perturbation in the most general scalar-tensor theory with second-order field equations II: the even-parity sector
- Static response and Love numbers of Schwarzschild black holes
- Quantum corrected black holes: quasinormal modes, scattering, shadows
- Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
- Gravito-Electromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
- Quasi-normal modes of charged, dilaton black holes
- Potential gravitational-wave signatures of quantum gravity
- Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
- Perturbations and quasi-normal modes of black holes in Einstein-Aether theory
- Noncommutative Gravity Solutions
- The Darboux transformation in black hole perturbation theory
- Quasinormal modes of black holes in Einstein-power-Maxwell theory
- Quasi-normal frequencies: Key analytic results
- Spectral (in)stability of quasinormal modes and strong cosmic censorship
- Possible Causes of False General Relativity Violations in Gravitational Wave Observations
- Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
- Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
- Quasinormal modes as a distinguisher between general relativity and f(R) gravity
- Noncommutative scalar field in the non-extremal Reissner-Nordström background: QNM spectrum
- Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
- Quasinormal modes of dilatonic Reissner-Nordström black holes
- Gravitational axial perturbations and quasinormal modes of loop quantum black holes
- Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows
- Quasinormal modes as a distinguisher between general relativity and f(R) gravity: Charged black-holes
- Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole
- Asymptotics of linear differential systems and application to quasi-normal modes of nonrotating black holes
- Lorentz violation induces isospectrality breaking in Einstein-Bumblebee gravity theory
- Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
- Quasinormal Modes in Noncommutative Schwarzschild black holes
- Quasi-normal Modes of Static Spherically Symmetric Black Holes in Theory
- Strong gravity signatures in the polarization of gravitational waves
- A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: just how general should it be?
- Black hole quasinormal modes and isospectrality in Deser-Woodard nonlocal gravity
- Metric perturbations in Noncommutative Gravity
- Noncommutative correction to the entropy of charged BTZ black hole
- Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
- Gravitational probe of quantum spacetime