Gravitational bending angle with finite distances by Casimir wormholes
arXiv:2106.11801 · doi:10.1142/S0218271822500110
Abstract
In this paper, we investigate the gravitational bending angle due to the Casimir wormholes, which consider the Casimir energy as the source. Furthermore, some of these Casimir wormholes regard Generalized Uncertainty Principle (GUP) corrections of Casimir energy. We use the Ishihara method for the Jacobi metric, which allows us to study the bending angle of light and massive test particles for finite distances. Beyond the uncorrected Casimir source, we consider many GUP corrections, namely: the Kempf, Mangano and Mann (KMM) model, the Detournay, Gabriel and Spindel (DGS) model, and the so-called type II model for the GUP principle. We also find the deflection angle of light and massive particles in the case of the receiver and the source are far away from the lens. In this case, we also compute the optical scalars: convergence and shear for these Casimir wormholes as a gravitational weak lens.
25 pages, 1 figure, Minor corrections, typos fixed, references added
References in corpus (15)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Relativistic images of Schwarzschild black hole lensing
- Discovery of a Jupiter/Saturn Analog with Gravitational Microlensing
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
- Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
- Traversable Wormholes Supported by GUP Corrected Casimir Energy
- Circular orbit of a particle and weak gravitational lensing
- Casimir Energy of a Long Wormhole Throat
- Weak deflection angle by Casimir wormhole using Gauss-bonnet theorem and its shadow
- Traversable Casimir Wormholes in D Dimensions
- Traversability of quantum improved wormhole solution
- Quasi-local Casimir energy and vacuum buoyancy in a weak gravitational field
- Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene
- Ellis-Bronnikov Wormholes in Asymptotically Safe Gravity
Cited by in corpus (10)
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- Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
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- Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
- On the traversability of wormhole solutions in asymptotically safe gravity
- Generalized Ellis-Bronnikov graphene wormhole
- Schwarzschild-like Wormholes in Asymptotically Safe Gravity
- On quantum traversability of wormholes
- Finite Temperature Considerations in the Structure of Quadratic GUP-modified White Dwarfs