Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 22 October 2021 / Approved: 26 October 2021 / Online: 26 October 2021 (12:33:53 CEST)

A peer-reviewed article of this Preprint also exists.

Turk J Phys, 45, (2021), 247-267 Turk J Phys, 45, (2021), 247-267

Journal reference: TURKISH JOURNAL OF PHYSICS 2021, 45, 247-267
DOI: 10.3906/fiz-2110-16


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.


Weak Deflection angle; Gauss-Bonnet theorem; Black holes; Wormholes.


PHYSICAL SCIENCES, General & Theoretical Physics

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