Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole

Abstract

Aiming to search for a signal of space-time noncommutativity, we study a quasinormal mode spectrum of the Reissner Nordström black hole in the presence of a deformed space-time structure. In this context we study a noncommutative (NC) deformation of a scalar field, minimally coupled to a classical Reissner Nordström background. Our model is thus semiclassical from the beginning and scalar field is in addition minimally coupled to U(1) gauge field. The deformation is performed via particularly chosen Killing twist to yield a geometrical form of the action, which maintains the diffeomorphism invariance manifest, as well as the invariance under a deformed gauge symmetry group. We find the quasinormal mode solutions of the equations of motion governing the matter content of the model in some particular range of system parameters which corresponds to a near extremal limit. In addition, we obtain a well defined analytical condition which allows for a detailed numerical analysis. Moreover, there exists a parameter range, rather restrictive though, which allows for obtaining a QNM spectrum in a closed analytic form. We also argue within a semiclassical approach that NC deformation does not affect the Hawking temperature of thermal radiation.

36 pages, 12 figures; in v2 few explanations added; v3 is a version that appears in Class.Quant.Grav

References in corpus (28)

• A Gravity Theory on Noncommutative Spaces
• Fermions Tunnelling from Black Holes
• The physical interpretation of the spectrum of black hole quasinormal modes
• Dirac particles tunneling from BTZ black hole
• Hawking temperature from tunnelling formalism
• Area spectrum of rotating black holes via the new interpretation of quasinormal modes
• Instability of higher dimensional charged black holes in the de-Sitter world
• Quasinormal modes of D-dimensional de Sitter spacetime
• Noncommutative Gravity
• Massive scalar field quasi-normal modes of higher dimensional black holes
• Noncommutative D=4 gravity coupled to fermions
• Improved Z -> gamma gamma decay in the renormalizable gauge sector of the noncommutative standard model
• Constraining non-commutative space-time from GW150914
• Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity
• Cosmological solutions of emergent noncommutative gravity
• Relaxation dynamics of charged gravitational collapse
• Quasinormal modes of charged fields around a Reissner-Nordström black hole
• Gravity and the Structure of Noncommutative Algebras
• Noncommutative corrections to classical black holes
• Quantization of Black Hole Entropy from Quasinormal Modes
• NC $SO(2,3{)}_{\star }$ gravity: noncommutativity as a source of curvature and torsion
• Exact Gravitational Quasinormal Frequencies of Topological Black Holes
• Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
• Quasinormal Modes and Stability Criterion of Dilatonic Black Hole in 1+1 and 4+1 Dimensions
• Quasinormal modes of a scalar field in the Einstein--Gauss--Bonnet-AdS black hole background: Perturbative and non-perturbative branches
• Observables and Dispersion Relations in k-Minkowski Spacetime
• Asymptotic quasinormal modes of a noncommutative geometry inspired Schwarzschild black hole
• Twisted statistics and the structure of Lie-deformed Minkowski spaces

Cited by in corpus (34)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Quasinormal modes and shadow of a Schwarzschild black hole with GUP
• Noncommutative field theory from angular twist
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• Noncommutative scalar field in the non-extremal Reissner-Nordström background: QNM spectrum
• Geodesic stability and quasinormal modes of non-commutative Schwarzschild black hole employing Lyapunov exponent
• Gauge theories on quantum spaces
• Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows
• Time Discretization From Noncommutativity
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Noncommutativity and logarithmic correction to the black hole entropy
• Phantom RN-AdS black holes in noncommutative space
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Localization and observers in $\varrho$-Minkowski spacetime
• Constructing noncommutative black holes
• Metric perturbations in Noncommutative Gravity
• Double Quantization
• Noncommutative correction to the entropy of charged BTZ black hole
• Noncommutativity and the Weak Cosmic Censorship
• Field theories on $\rho$-deformed Minkowski space-time
• Gravitational probe of quantum spacetime
• Noncommutative quasinormal modes of Schwarzschild black hole
• Perturbations of Black Holes Surrounded by Anisotropic Matter Field
• Poisson electrodynamics on $\kappa$-Minkowski space-time
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
• Corrections to Kerr-Newman black hole from Noncommutative Einstein-Maxwell equation
• Imprints of non-commutativity on charged black holes
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Entropy of black holes, charged probes and noncommutative generalization
• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
• Star-products for Lie-algebraic noncommutative Minkowski space-times