Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov–type wormhole(a)

Ahmed, Faizuddin

doi:10.1209/0295-5075/acbb21

Cited by 17 publications

(3 citation statements)

References 41 publications

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“…a topologically charged Ellis-Bronnikov-type wormhole [95], and becomes an Ellis-Bronnikovtype or Morris-Thorne-type wormhole for α 0 → 1 [36][37][38].…”

Section: Jcap11(2023)010mentioning

confidence: 99%

Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing

Ahmed

2023

J. Cosmol. Astropart. Phys.

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This study investigates the geodesic motion of test particles, both massless and massive, within a Schwarzschild-Klinkhamer (SK) wormhole space-time. We specifically consider the influence of cosmic strings on the system and analyze the effective potential, and observing that the presence of a cosmic string parameter alters it for null and time-like geodesics. Moreover, we calculate the deflection angle for null geodesics, and demonstrate that the cosmic string modifies this angle and induces a shift in the results. Additionally, we extend our investigation in this SK-wormhole space-time but with a global monopole. We explore the geodesic motion of test particles in this scenario and find that the effective potential is affected by the global monopole. Similarly, we determine the deflection angle for null geodesics and show that the global monopole parameter introduces modifications to this angle. Lastly, we present several known solutions for space-times involving cosmic strings and global monopoles within the framework of this SK-wormhole.

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“…a topologically charged Ellis-Bronnikov-type wormhole [95], and becomes an Ellis-Bronnikovtype or Morris-Thorne-type wormhole for α 0 → 1 [36][37][38].…”

Section: Jcap11(2023)010mentioning

confidence: 99%

Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing

Ahmed

2023

J. Cosmol. Astropart. Phys.

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“…Thereby, we start this section with the Hamiltonian operator of quantum system with interaction potential V (r) described by [56,57]…”

Section: Rotational Effects On Harmonic Oscillator With Potential Und...mentioning

confidence: 99%

Effects of Quantum Flux on Generalized KG-Oscillator in Ellis-Bronnikov-Type Wormhole with Point-Like Defect

Ahmed

Aounallah

RUDRA³

2023

Preprint

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The relativistic quantum dynamics of oscillator field via the generalized Klein-Gordon oscillator in the background of Ellis-Bronnikov-type wormhole space-time with topological defect under the influence of quantum flux are investigated. In fact, we derived the radial wave equation for a Coulomb- and Cornell-type potential form functions and solved the equation analytically. The generalized KG-oscillator is introduced by replacing the momentum operator ∂μ →(∂μ +Mω Xμ) in the wave equation, where Xμ = (0, f (x),0,0) with f (x) is an arbitrary function other than x.We show that the topological defect and the radius of wormhole throat influences the eigenvalue solution and modified the result. Furthermore, the quantum flux

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“…The so-called "defect wormholes" developed by Klinkhamer in references [1][2][3][4] have recently attracted considerable attention [5][6][7][8][9], despite being in serious conflict with over 35 years of Lorentzian wormhole physics [10,11]. Unfortunately, it is our melancholy duty to confirm and extend the severe technical criticisms presented by Feng in reference [12].…”

Section: Introductionmentioning

confidence: 99%

Defect Wormholes Are Defective

Baines,

Gaur,

Visser

2023

Universe

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The various “defect wormholes” developed by Klinkhamer have recently attracted considerable attention—especially in view of the fact that the simplest example, the so-called “vacuum defect wormhole”, was claimed to be an everywhere-vacuum everywhere-Ricci-flat exact solution to the Einstein equations. This claim has been conclusively refuted by Feng, and in the current article, we take a deeper look at exactly what goes wrong. The central issue is this: Although Klinkhamer’s specific representation of the metric gab is smooth (C∞), his inverse metric gab is not even everywhere continuous (C0), being undefined at the wormhole throat. This situation implies that one should very carefully investigate curvature tensors at the throat using the Israel–Lanczos–Sen thin-shell formalism. Doing so reveals the presence of a delta-function energy-condition-violating thin shell of matter at the wormhole throat. The “defect wormholes” are thus revealed to be quite ordinary “cut-and-paste” thin-shell wormholes, but represented in a coordinate system that is unfortunately pathological at exactly the same place that all the interesting physics occurs. To help clarify the situation, we shall focus on the behavior of suitable coordinate invariants—the Ricci scalar, the eigenvalues of the mixed Rab Ricci tensor, and the eigenvalues of the mixed Rabcd Riemann tensor.

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Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov–type wormhole(a)

Cited by 17 publications

References 41 publications

Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing

Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing

Effects of Quantum Flux on Generalized KG-Oscillator in Ellis-Bronnikov-Type Wormhole with Point-Like Defect

Defect Wormholes Are Defective

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