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 (18)

• Noncommutative geometry inspired charged black holes
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Charged rotating noncommutative black holes
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• The decay-time of non-commutative micro-black holes
• 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
• Magnetized black hole as a gravitational lens
• Spherically Symmetric Noncommutative Space: d = 4
• 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
• Noncommutative Effects in the Black Hole Evaporation in Two Dimensions
• Thermodynamics of noncommutative de Sitter spacetime