Effect of Aether Field on Weak Deflection Angle of Black Holes

Ali Övgün; İzzet Sakallı; Joel Saavedra

doi:10.20944/preprints201908.0156.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 12 August 2019 / Approved: 13 August 2019 / Online: 13 August 2019 (10:29:17 CEST)

We study the light rays in a static and spherically symmetric gravitational field of null aether theory (NAT). To this end, we employ the Gauss-Bonnet theorem to compute the deflection angle by a NAT black hole in the weak limit approximation. Using the optical metrics of the NAT black hole, we first obtain the Gaussian curvature and then calculate the leading terms of the deflection angle. Our calculations show how gravitational lensing is affected by the NAT field. We also show once again that the bending of light stems from a global and topological effect.

deflection of light; Gauss-Bonnet theorem; gravitational lensing; black hole; null aether theory

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Effect of Aether Field on Weak Deflection Angle of Black Holes

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