Effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities

2019/03/27 by Wajiha Javed, Rimsha Babar, Ali Övgün · 7 citations
Physics and Astronomy · #Brane #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #Galaxy #Gamma-ray bursts and supernovae #Gravitation #Gravitational lens #Gravitational lensing formalism #Gravitational singularity #Mathematical physics #Naked singularity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Strong gravitational lensing #Theoretical physics #Weak gravitational lensing #Wormhole #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.99.084012

published as Phys. Rev. D 99, 084012 (2019) · 11 pages. Accepted for publication in Physical Review D (https://journals.aps.org/prd/accepted/3a07aQ5aNef19a26f3ad78b4f1cbf15402e2edce8)

arxiv created 2019/03/27 · openalex publication_date 2019/04/09 · arxiv updated 2019/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we analyze the deflection angle of light by the 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 the 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 the wormhole. Such a novel lensing feature might serve as a way to detect wormholes, naked singularities and also the evidence of Brane-Dicke theory.

Citations

• Mach's Principle and a Relativistic Theory of Gravitation
• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• Gravitational lensing in the Kerr-Randers optical geometry
• Wormholes, Time Machines, and the Weak Energy Condition
• SPHERICALLY SYMMETRIC AND ROTATING WORMHOLES PRODUCED BY LIGHTLIKE BRANES
• Traversable wormholes: Some simple examples
• Phantom energy traversable wormholes
• Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Extreme gravity tests with gravitational waves from compact binary coalescences: (I) inspiral–merger
• Traversable wormholes in four dimensions

Cited by

• Weak deflection angle of a dirty black hole
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Schwarzschild-like black hole with a topological defect in bumblebee gravity
• Shadow and weak deflection angle of extended uncertainty principle black hole surrounded with dark matter
• Weak gravitational lensing by Bocharova–Bronnikov–Melnikov–Bekenstein black holes using Gauss–Bonnet theorem
• Effect of nonlinear electrodynamics on the weak field deflection angle by a black hole