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.

Accepted for publication in International Journal of Geometric Methods in Modern Physics

References in corpus (9)

• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Gravitational Lensing by Wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Deflection angle of light in an Ellis wormhole geometry
• Gravitational lensing by wormholes
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• Wave Effect in Gravitational Lensing by the Ellis Wormhole

Cited by in corpus (14)

• Gravitational Lensing by Rotating Wormholes
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Phantom wormholes in Einstein-Maxwell-dilaton theory
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• 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