Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity Using Weak Deflection Angle and Shadow Cast

Version 1 : Received: 2 May 2020 / Approved: 3 May 2020 / Online: 3 May 2020 (07:52:15 CEST)

How to cite: Övgün, A.; Sakallı, İ. Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity Using Weak Deflection Angle and Shadow Cast. Preprints 2020, 2020050032 (doi: 10.20944/preprints202005.0032.v1). Övgün, A.; Sakallı, İ. Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity Using Weak Deflection Angle and Shadow Cast. Preprints 2020, 2020050032 (doi: 10.20944/preprints202005.0032.v1).

Abstract

In this paper, we use a new asymptotically flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity to study the weak gravitational lensing and its shadow cast. To this end, we first compute the weak deflection angle of generalized ECKS black hole using the Gauss–Bonnet theorem in plasma medium and in vacuum. Next by using the Newman-Janis algorithm without complexification, we derive the rotating generalized ECKS black hole and in the sequel study its shadow. Then, we discuss the effect of the ECKS parameter on the shadow of the black hole and weak deflection angle. In short, the goal of this paper is to give contribution to the ECKS theory and look for evidences to understand how the ECKS parameter effects the gravitational lensing.

Subject Areas

Weak Deflection Angle; Gauss-Bonnet theorem; Shadow; Einstein-Cartan-Kibble-Sciama gravity

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