2021
DOI: 10.1142/s0218271822500110
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Gravitational bending angle with finite distances by Casimir wormholes

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 … Show more

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Cited by 12 publications
(6 citation statements)
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“…These potentials, V ind (u) and V dC (u), compete with each other when the parameters of the Ellis-Bronnikov wormhole are changed, such as the radius R of the wormhole, or when the wormhole geometry is changed. Therefore the behavior of the electron confined to the surface of the GEB wormhole made of graphene is described by an Hermitian Hamiltonian with an effective potential written as (16).…”
Section: Geometry Effectsmentioning
confidence: 99%
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“…These potentials, V ind (u) and V dC (u), compete with each other when the parameters of the Ellis-Bronnikov wormhole are changed, such as the radius R of the wormhole, or when the wormhole geometry is changed. Therefore the behavior of the electron confined to the surface of the GEB wormhole made of graphene is described by an Hermitian Hamiltonian with an effective potential written as (16).…”
Section: Geometry Effectsmentioning
confidence: 99%
“…In the previous section we studied the interaction of an electron on various types of generalized Ellis-Bronnikov wormhole surfaces, of radii R, made of graphene. The effective potential was obtained from this study given by (16). In this section we will study their bound states, considering the radius of these surfaces equal to R = 70 Å, and the effective mass of the electron in graphene equal to m * = 0.03m 0 .…”
Section: Bound Statesmentioning
confidence: 99%
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“…An example of a source of exotic matter that can sustain a traversable wormhole is the Casimir vacuum energy. Thus, wormholes with Casimir-type energy density profiles have been studied in the last years [21][22][23][24][25]. In particular, [23] considered models which introduce a fundamental minimal length via Generalized Uncertainty Principle (GUP) in order to correct that energy and study wormholes solutions in the GR context.…”
Section: Introductionmentioning
confidence: 99%