Strong gravitational lensing in a noncommutative black-hole spacetime

Abstract

Noncommutative geometry may be a starting point to a quantum gravity. We study the influence of the spacetime noncommutative parameter on the strong field gravitational lensing in the noncommutative Schwarzschild black-hole spacetime and obtain the angular position and magnification of the relativistic images. Supposing that the gravitational field of the supermassive central object of the galaxy described by this metric, we estimate the numerical values of the coefficients and observables for strong gravitational lensing. Comparing to the Reissner-Norstr\"{om} black hole, we find that the influences of the spacetime noncommutative parameter is similar to those of the charge, just these influences are much smaller. This may offer a way to distinguish a noncommutative black hole from a Reissner-Norstr\"{om} black hole, and may probe the spacetime noncommutative constant $\vartheta$ \cite{foot} by the astronomical instruments in the future.

13 pages, 4 figures, 2 tables, accepted by Phys. Rev. D

References in corpus (47)

• String Theory and Noncommutative Geometry
• Bound States Of Strings And $p$-Branes
• Schwarzschild black hole lensing
• Noncommutative geometry inspired Schwarzschild black hole
• Gravitational lensing in the strong field limit
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• The geometry of photon surfaces
• The Non-Commutative Geometry of the Quantum Hall Effect
• Space-Time Noncommutative Field Theories And Unitarity
• Strong field limit of black hole gravitational lensing
• Reissner-Nordstrom black hole lensing
• Feynman Path Integral on the Noncommutative Plane
• Noncommutative geometry inspired charged black holes
• Spacetime perspective of Schwarzschild lensing
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• 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
• Gravitational lensing by a charged black hole of string theory
• Charged rotating noncommutative black holes
• UV divergence-free QFT on noncommutative plane
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Noncommutative geometry inspired dirty black holes
• "Kerrr" black hole: the Lord of the String
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Thermodynamics and evaporation of the noncommutative black hole
• Time-ordered Perturbation Theory on Noncommutative Spacetime II: Unitarity
• Strong field gravitational lensing in scalar tensor theories
• The decay-time of non-commutative micro-black holes
• Noncommutative geometry inspired black holes in higher dimensions at the LHC
• Particle motion and gravitational lensing in the metric of a dilaton black hole in a de Sitter universe
• Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole
• Particle motion around magnetized black holes: Preston-Poisson space-time
• Maximal extension of the Schwarzschild spacetime inspired by noncommutative geometry
• Noncommutative open strings from Dirac quantization
• Lorentz Invariance And Unitarity Problem In Non-Commutative Field Theory
• Magnetized black hole as a gravitational lens
• Spherically Symmetric Noncommutative Space: d = 4
• Unitarity of Time-Like Noncommutative Gauge Theories: The Violation of Ward Identities in Time-Ordered Perturbation Theory
• Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
• Black hole evaporation in a spherically symmetric non-commutative space-time
• Thermodynamics on Noncommutative Geometry in Coherent State Formalism
• Gravitational amplitudes in black-hole evaporation: the effect of non-commutative geometry
• No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• Thermodynamics of noncommutative de Sitter spacetime

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• Gravitational Lensing by Self-Dual Black Holes in Loop Quantum Gravity
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• Strong gravitational lensing for black hole with scalar charge in massive gravity
• Effects of non-commutative geometry on black hole properties
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Equatorial and quasi-equatorial gravitational lensing by Kerr black hole pierced by a cosmic string
• Light on curved backgrounds
• Holographic thermalization in noncommutative geometry
• Null geodesics and gravitational lensing in a nonsingular spacetime
• Particle production induced by a Lorentzian non-commutative spacetime
• The Influence of Uniform Magnetic Fields on Strong Field Gravitational Lensing by Kerr Black Holes
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Stability analysis of Lower Dimensional Gravastars in noncommutative geometry
• A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing
• Gravitational lensing by a stable rotating regular black hole
• Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Strong Gravitational Lensing by Compact Object without Cauchy Horizons in Effective Quantum Gravity
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Geodesic structure of a noncommutative black hole
• Angular Location of the $n^{th}$ Einstein Ring at large $n$
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes