Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows

Abstract

In this work, by a novel approach to studying the scattering of a Schwarzschild black hole, the non-commutativity is introduced as a perturbation. We begin by reformulating the Klein-Gordon equation for the scalar field in a new form that takes into account the deformed non-commutative spacetime. Using this formulation, an effective potential for the scattering process is derived. To calculate the quasinormal modes, we employ the WKB method and also utilize fitting techniques to investigate the impact of non-commutativity on the scalar quasinormal modes. We thoroughly analyze the results obtained from these different methods. Moreover, the greybody factor and absorption cross section are investigated. Additionally, we explore the behavior of null geodesics in the presence of non-commutativity. Specifically, we examine the photonic, and shadow radius as well as the light trajectories for different non-commutative parameters. Therefore, by addressing these various aspects, we aim to provide a comprehensive understanding of the influence of non-commutativity on the scattering of a Schwarzschild-like black hole and its implications for the behavior of scalar fields and light trajectories.

References in corpus (21)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Calculating black hole shadows: Review of analytical studies
• Noncommutative Black Hole Thermodynamics
• Charged rotating noncommutative black holes
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Probing a nonlinear electrodynamics black hole with thin accretion disk, shadow and deflection angle with M87* and Sgr A* from EHT
• The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions
• Towards Noncommutative Quantum Black Holes
• Greybody factor and quasinormal modes of Regular Black Holes
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Gravitational signatures of a non--commutative stable black hole
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Absorption, scattering and shadow by a noncommutative black hole with global monopole
• Eikonal quasinormal modes and photon orbits of deformed Schwarzschild black holes
• Non-commutative Geometry from Perturbative Quantum Gravity
• Light on curved backgrounds
• Geodesic equation in non-commutative gauge theory of gravity
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Shadows and quasinormal modes of a charged non-commutative black hole by different methods
• Noncommutativity and Physics: A non-technical review

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• Particle production induced by a Lorentzian non-commutative spacetime
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• A Non-Commutative Kalb-Ramond Black Hole
• Quasinormal Modes and Topological Characteristics of a Schwarzschild Black Hole Surrounded by the Dehnen Type Dark Matter Halo
• Properties of an axisymmetric Lorentzian non-commutative black hole
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• Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
• Quantum-corrected Schwarzschild AdS black hole surrounded by quintessence: Thermodynamics and Shadows
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• Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic
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• Thermodynamic phase transition and Joule-Thomson expansion of a quantum corrected black hole in AdS spacetime
• Noncommutative quasinormal modes of Schwarzschild black hole
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Imprints of non-commutativity on charged black holes
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Shadow of a Noncommutative Thin-Shell Gravastar