Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources

Abstract

We investigate the massless scalar quasinormal modes (QNMs) of the noncommutative $D$-dimensional Schwarzschild-Tangherlini black hole spacetime in this paper. By using the Wentzel-Kramers-Brillouin (WKB) approximation method, the asymptotic iterative method (AIM) and the inverted potential method (IPM) method, we made a detail analysis of the massless scalar QNM frequencies by varying the general smeared matter distribution and the allowable characteristic parameters ($k$ and $\theta$) corresponding to different dimensions. It is found that the nonconvergence of the high order WKB approximation exists in the QNMs frequencies of scalar perturbation around the noncommutative $D$-dimensional Schwarzschild black holes. We conclude that the 3rd WKB result should be more reliable than those of the high order WKB method since our numerical results are also verified by the AIM method and the IPM method. In the dimensional range of $4\le D\le 7$, the scalar QNMs as a function of the different papameters (the noncommutative parameter $\theta$, the smeared matter distribution parameter $k$, the multipole number $l$ and the main node number $n$) are obtained. Moreover, we study the dynamical evolution of a scalar field in the background of the noncommutative high dimensional Schwarzschild-Tangherlini black hole.

arXiv comment26 pages, 11 figures, to be appeared in Nucl. phys. B

References in corpus (40)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Quasi-Normal Modes of Stars and Black Holes
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Bound States Of Strings And $p$-Branes
• Noncommutative geometry inspired Schwarzschild black hole
• GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
• Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Asymptotic iteration method for eigenvalue problems
• Feynman Path Integral on the Noncommutative Plane
• Noncommutative geometry inspired charged black holes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Noncommutative Black Hole Thermodynamics
• String Theory and the Principle of Black Hole Complementarity
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Charged rotating noncommutative black holes
• Gravitational Radiation in D-dimensional Spacetimes
• UV divergence-free QFT on noncommutative plane
• Quasinormal modes of Reissner-Nordström-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations
• Perturbation theory in a framework of iteration methods
• Quasi-Normal Modes and Gravitational Wave Astronomy
• Decay of massive scalar field in a Schwarzschild background
• Black hole quasinormal modes using the asymptotic iteration method
• Highly Damped Quasinormal Modes of Kerr Black Holes: A Complete Numerical Investigation
• Quasinormal modes of black holes immersed in a strong magnetic field
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Superradiant instability of black holes immersed in a magnetic field
• Constraining non-commutative space-time from GW150914
• Quantum hoop conjecture: Black hole formation by particle collisions
• Regular black hole in three dimensions
• Decay of massive scalar field in a black hole background immersed in magnetic field
• Noncommutative Inspired Reissner-Nordström Black Holes in Large Extra Dimensions
• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
• Thermodynamics of the Schwarzschild-AdS black hole with a minimal length
• The final stage of gravitationally collapsed thick matter layers
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Perturbing microscopic black holes inspired by noncommutativity
• Quasinormal mode spectra for odd parity perturbations in spacetimes with smeared matter sources

Cited by in corpus (13)

• The shadows and observational appearance of a noncommutative black hole surrounded by various profiles of accretions
• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Quasinormal modes of dS and AdS Black Holes: Feedforward neural network method
• Shadows and quasinormal modes of a charged non-commutative black hole by different methods
• Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
• Analyzing the effect of higher dimensions on the black hole silhouette, deflection angles, and PINN approximated quasinormal modes
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Absorption and scattering of a high dimensional noncommutative black hole
• Absorption and scattering of massless scalar waves by black holes in quasi-topological gravity
• Axial gravitational quasinormal modes of magnetically charged black holes
• Polar perturbations of dilaton-Euler-Heisenberg black holes
• A Quantum Energy Inequality for a Non-commutative QFT