Preprint Article Version 1 This version is not peer-reviewed

The Effect of the Brane-Dicke Coupling Parameter on Weak Gravitational Lensing by  Wormholes and Naked Singularities

Version 1 : Received: 27 March 2019 / Approved: 29 March 2019 / Online: 29 March 2019 (12:18:07 CET)

A peer-reviewed article of this Preprint also exists.

Javed, W.; Babar, R.; Övgün, A. The Effect of the Brane-Dicke Coupling Parameter on Weak Gravitational Lensing by Wormholes and Naked Singularities. Physical Review D 2019, 99, 084012. Javed, W.; Babar, R.; Övgün, A. The Effect of the Brane-Dicke Coupling Parameter on Weak Gravitational Lensing by Wormholes and Naked Singularities. Physical Review D 2019, 99, 084012.

Journal reference: PHYSICAL REVIEW D 2019, 99, 084012
DOI: 10.1103/PhysRevD.99.084012

Abstract

In this paper, we analyze the deflection angle of light by Brane-Dicke
wormhole in the weak field limit approximation to find the effect of the Brane-Dicke coupling parameter on the weak gravitation lensing. For this purpose, we consider new geometric techniques, i.e., Gauss-Bonnet theorem and optical geometry in order to calculate the deflection angle. Furthermore, we verify our results by considering the most familiar geodesic technique. Moreover, we establish the quantum corrected metric of Brane-Dicke wormhole by replacing the classical geodesic with Bohmian trajectories, whose matter source and anisotropic pressure are influenced by Bohmian quantum effects and calculate its
quantum corrected deflection angle. Then, we calculate the deflection angle by naked singularities and compare with the result of wormhole's. Such a novel lensing feature might serve as a way to detect wormholes, naked singularities and also the evidence of Brane-Dicke theory.

Supplementary and Associated Material

Subject Areas

Deflection of light, Gravitational lensing, Wormhole, Gauss-Bonnet theorem, Brane-Dicke gravity

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