Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity

Abstract

We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov-Bohm effect. By focusing on the confinement of the Dirac field and the scalar field to a hard-wall confining potential in a modified background of the cosmic string spacetime, we examine the effects of the rainbow gravity and the topology of the cosmic string spacetime. Then, we compare each spectrum of energy with the cases where the rainbow gravity is absent.

arXiv comment18 pages, 2 figures

References in corpus (55)

• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Cosmic strings
• Lorentz invariance with an invariant energy scale
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• A Generalized Uncertainty Principle in Quantum Gravity
• Quantum Spacetime Phenomenology
• Generalized Lorentz invariance with an invariant energy scale
• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Gravity's Rainbow
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Volterra Distortions, Spinning Strings, and Cosmic Defects
• Doubly Special Relativity and de Sitter space
• 2+1 gravity and Doubly Special Relativity
• Klein-Gordon Oscillator in Kaluza-Klein Theory
• Nonsingular Rainbow Universes
• On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
• Non-Linear Relativity in Position Space
• Signals of Inflationary Models with Cosmic Strings
• Seeking String Theory in the Cosmos
• Lorentz violation from gamma-ray bursts
• Black Hole Remnant from Gravity's Rainbow
• In-vacuo-dispersion features for GRB neutrinos and photons
• The Dirac oscillator in a spinning cosmic string spacetime
• Charged BTZ black holes in the context of massive gravity's rainbow
• Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
• Thermodynamic properties of neutral particle in presence of Topological defects in Magnetic Cosmic String Background
• Modifications to Lorentz invariant dispersion in relatively boosted frames
• Dirac ocillator in the cosmic string spacetime in the context of gravity's rainbow
• Thermal fluctuations of charged black holes in gravity's rainbow
• Two-Dimensional Quantum ring in a Graphene Layer in the presence of a Aharonov-Bohm flux
• More on the initial singularity problem in gravity's rainbow cosmology
• Rainbow metric from quantum gravity
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Casimir Effect in the Rainbow Einstein's Universe
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects
• Quantum motion of a point particle in the presence of the Aharonov--Bohm potential in curved space
• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Quantum Singularities in Spacetimes with Spherical and Cylindrical Topological Defects
• Evolution of Landau levels in graphene-based topological insulators in the presence of wedge disclinations
• Aharonov-Bohm-type effect in the background of a distortion of a vertical line into a vertical spiral
• Cosmic string in gravity's rainbow
• Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
• Algebraic solution and coherent states for the Dirac oscillator interacting with a topological defect
• Energy Scale of Lorentz Violation in Rainbow Gravity
• Deformed Special Relativity from Asymptotically Safe Gravity
• The self-energy of a charged particle in the presence of a topological defect distribution
• Classical and quantum dynamics of a perfect fluid scalar-energy dependent metric cosmology
• Quantum Effects in the Spacetime of a Magnetic Flux Cosmic String
• Space Time Defects as a Source of Curvature and Torsion
• The relation between the model of a crystal with defects and Plebanski's theory of gravity
• Multidimensional global monopole in presence of Electromagnetic Field
• Non-singular model universe from a perfect fluid scalar-metric cosmology

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• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• The influence of Aharonov-Casher effect on the generalized Dirac oscillator in the cosmic string space-time
• Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Maximal acceleration in Rainbow gravity
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"