Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow

Abstract

In this paper, we calculate the weak deflection angle by Casimir wormhole and its shadow. To do so, we derive the Gaussian optical curvature and use the Gauss-Bonnet theorem. Then we find the deflection angle by Casimir wormhole in weak field limits. Moreover, we obtain the weak deflection angle in the presence of plasma medium and see the effect of the plasma medium on the weak deflection angle. Moreover, we study a shadow of Casimir wormhole and we plot and discuss them. We show the shadow of Casimir wormhole's behavior when changing the value of $a$.

Accepted for publication in Modern Physics Letters A

References in corpus (32)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Traversable wormholes: Some simple examples
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Wormholes as Black Hole Foils
• Gravitational Lensing by Rotating Wormholes
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Shadow cast and deflection of light by charged rotating regular black holes
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Deflection angle of light in an Ellis wormhole geometry
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• The Finslerian wormhole models
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• Tunneling of Vector Particles from Lorentzian Wormholes in 3+1 Dimensions
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Relativistic Bose--Einstein condensates thin-shell wormholes
• Universal properties of the near-horizon optical geometry
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• Generating functions of wormholes
• Zero mass limit of Kerr spacetime is a wormhole
• Negative time delay of light by a gravitational concave lens
• The Second Post-Newtonian Light Propagation and Its Astrometric Measurement in the Solar System
• Stability of Effective Thin-shell Wormholes Under Lorentz Symmetry Breaking Supported by Dark Matter and Dark Energy
• Lightlike Brane as a Gravitational Source of Misner-Wheeler-Type Wormhole
• String effect on the relative time delay in the Kerr-Sen black hole
• The time delay in strong gravitational lensing with Gauss-Bonnet correction