Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem

Abstract

In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied apropos of the gravitational lensing phenomenon in the weak field limits. Some exclusive instances are deliberated while calculating the deflection angle, beginning with the finite-distance corrections on non-asymptotically flat spacetimes. Effects of plasma medium is then inspected to observe its contribution to the deflection angle. Finally, the Jacobi metric is explored as an alternative method, only to arrive at similar results. All of the cases are probed in three constructs, one as a generic statement of explanation, one for black holes, and one for wormholes, so as to gain a perspective on every kind of influence.

arXiv comment22 pages. Review Article. Accepted for publication in Turkish Journal of Physics

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Cited by in corpus (12)

• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Weak deflection angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism
• Deflection of charged signals in a dipole magnetic field in Schwarzschild background using Gauss-Bonnet theorem
• Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
• Shadows and photon spheres in static and rotating traversable wormholes