Deflection Angle of Light by Wormholes using the Gauss-Bonnet Theorem

Abstract

In this letter, we have investigated the deflection angle of light by wormholes using a new geometrical method known as Gibbons-Werner method (GW). In particular we have calculated the deflection angle of light in the weak limit approximation in two wormhole spacetime geometries: Ellis wormhole and Janis-Newman-Winnicour (JNW) wormhole. We have employed the famous Gauss-Bonnet theorem (GBT) to the Ellis wormhole optical geometry and JNW wormhole optical geometry, respectively. By using GBT, we computed the deflection angles in leading orders by these wormholes and our results were compared with the ones in the literature.

arXiv commentAccepted for publication in International Journal of Geometric Methods in Modern Physics

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Cited by in corpus (37)

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• Gravitational Lensing by Rotating Wormholes
• Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant
• Light deflection by Damour-Solodukhin wormholes and Gauss-Bonnet theorem
• Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment
• Gravitational Lensing Under the Effect of Weyl and Bumblebee Gravities: Applications of Gauss-Bonnet Theorem
• Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem
• Weak Gravitational lensing by phantom black holes and phantom wormholes using the Gauss-Bonnet theorem
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Gravitational lensing by wormholes supported by electromagnetic, scalar, and quantum effects
• Effect of the cosmological constant on the deflection angle by a rotating cosmic string
• Finite distance corrections to the light deflection in a gravitational field with a plasma medium
• Quasi-normal modes of bumblebee wormhole
• Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor
• Gravitational deflection of relativistic massive particles by wormholes
• Phantom wormholes in Einstein-Maxwell-dilaton theory
• Conical Morris-Thorne Wormholes with a Global Monopole Charge
• Extended source effect on microlensing light curves by an Ellis wormhole
• Gravitational deflection of relativistic massive particles by Kerr black holes and Teo wormholes viewed as a topological effect
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• Traversable wormhole solution with a background Kalb-Ramond field
• Equivalence of Gibbons-Werner method to geodesics method in the study of gravitational lensing
• Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity
• Anisotropic strange star in Finsler geometry
• Correspondence between quasinormal modes and the shadow radius in a wormhole spacetime
• Gravitational lensing by using the 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Generalized Gibbons-Werner method for stationary spacetimes
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Microlensing effects of wormholes associated to blackhole spacetimes
• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
• Extending Gibbons-Werner method to bound orbits of massive particles
• Deflection of charged signals in a dipole magnetic field in Schwarzschild background using Gauss-Bonnet theorem
• Microlensing and event rate of static spherically symmetric wormhole
• Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem
• Gravitational lensing by two photon spheres in a black-bounce spacetime in strong deflection limits