Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects

Abstract

The theory of gravitational lensing has revealed many generic and fundamental properties of compact objects like black holes and wormholes. In this article, we utilize a recent formulation to compute the quantum effects on the deflection angle of a light ray, namely, the Gauss-Bonnet theorem (GBT) to explore the semiclassical gravitational effects in the spacetime of a point-like global monopole and a cosmic string. Previously, the Gauss-Bonnet theorem [Class. Quant. Grav. 25, 235009 (2008)] was proposed as an alternative way to compute the deflection angle of light in a static, spherically symmetric and asymptotically flat spacetime. In the present article we have used the celebrated GBT that applied to the optical metric as well as the geodesic method in computing the deflection angle. Interestingly one can observe that we have found an exact result between GBT and the standard approach up to the third-order contributions terms by modifying the domain of integration for cosmic string and global monopole deflection angles. Finally we have considered the time delay in the cosmic string/global monopole spacetime and found that the delay in time is proportional to the linear mass density of the cosmic string and global monopole parameter, respectively.

Accepted for publication in Annals of Physics

References in corpus (11)

• Relativistic images of Schwarzschild black hole lensing
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Gravitational Lensing by Wormholes
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• Landau quantization for a neutral particle in presence of topological defects
• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Signed magnification sums for general spherical lenses
• Global monopole, dark matter and scalar tensor theory
• Image formation in weak gravitational lensing by tidal charged black holes
• Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole

Cited by in corpus (4)

• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Extending Gibbons-Werner method to bound orbits of massive particles