Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity

Abstract

A rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman-Janis algorithm recently. For such spacetime, we investigate the weak gravitational deflection of massive particles to explore observational effects of the quantum correction. The purpose of this article is twofold. First, for Gibbons-Werner (GW) method, a geometric approach computing the deflection angle of particles in curved spacetimes, we refine its calculation and obtain a simplified formula. Second, by using GW method and our new formula, we work out the finite-distance weak deflection angle of massive particles for the rotating black hole in loop quantum gravity obtained by Brahma $etal.$ An analysis to our result reveals the repulsive effect of the quantum correction to particles. What's more, an observational constraint on the quantum parameter is obtained in solar system.

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Cited by in corpus (11)

• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Generalized Gibbons-Werner method for stationary spacetimes
• Extending Gibbons-Werner method to bound orbits of massive particles
• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Testing black holes with cosmological constant in Einstein-bumblebee gravity through the black hole shadow using EHT data and deflection angle
• Imprints of a gravitational wave through the weak field deflection of photons
• Quantum Corrected Geodesic Motion in Polymer Kerr-like Spacetime
• Boundary-only weak deflection angles from isothermal optical geometry
• The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole