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We consider position-dependent mass (PDM) Klein-Gordon (KG) particles in cosmic string rainbow gravity spacetime in a non-uniform magnetic field. The corresponding KG-equation is reduced into the one-dimensional form of the two-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Omar Mustafa

We argue that, as long as relativistic quantum particles are in point, the variable $y=E/E_p$ of the rainbow functions pair $g_{_{0}} (y)$ and $g_{_{1}} (y)$ should be fine tuned into $y=|E|/E_p$, where $E_p$ is the Planck's energy scale.…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Omar Mustafa

A fine tuned rainbow gravity describes both relativistic quantum particles and anti-particles alike. That is, the ratio $y=E/E_{P}$ in the rainbow functions $g_{_{0}}\left( y\right) $ and $% g_{_{1}}\left( y\right) $ should be fine tuned…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Omar Mustafa

We study the Klein-Gordon (KG) oscillators in a spinning cosmic string spacetime and an external magnetic field. The corresponding KG-equation is shown to admit a solution in the form of the confluent hypergeometric functions/polynomials.…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Omar Mustafa

We analyze the dynamics of scalar particles in gravity's rainbow considering the space-time of a cosmic string in this modified gravity. Thus, we solve the Klein-Gordon equation for two types of potential in which two possible rainbow…

General Relativity and Quantum Cosmology · Physics 2020-12-16 L. C. N. Santos , C. E. Mota , C. C. Barros , L. B. Castro , V. B. Bezerra

In G\"odel-type Som-Raychaudhuri (SR) cosmic string spacetime background, we re-cycle the Klein-Gordon (KG) oscillators and report their correct exact solutions. We argue that the mathematical collapse of the KG-equation into the…

General Relativity and Quantum Cosmology · Physics 2023-04-17 O. Mustafa

We investigate the effect of rainbow gravity on Klein-Gordon (KG) bosons in a quantized nonuniform magnetic field in the background of Bonnor-Melvin (BM) spacetime with a cosmological constant. In the process, we show that the BM spacetime…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Omar Mustafa , Abdullah Guvendi

In the cosmic string spacetime and within Kaluza-Klein theory (KKT) backgrounds (indulging magnetic and Aharonov-Bohm flux fields), we introduce and study position-dependent mass (PDM) Klein-Gordon (KG) oscillators. The effective PDM is…

General Relativity and Quantum Cosmology · Physics 2022-04-29 Omar Mustafa

We investigate and report the effects of rainbow gravity on the spectroscopic structure of KG-oscillators in a mixed magnetic field (in the sense that it has the usually described as a uniform and a non-uniform magnetic fields, each at a…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Omar Mustafa

In our investigation, we explore the quantum dynamics of charge-free scalar particles through the Klein-Gordon equation within the framework of rainbow gravity's, considering the Bonnor-Melvin-Lambda (BML) space-time background. The BML…

General Relativity and Quantum Cosmology · Physics 2024-04-02 Faizuddin Ahmed , Abdelmalek Bouzenada

In this paper, we explore the relativistic quantum motion of spin-zero scalar charge-free particles influenced by rainbow gravity's (RG's) in Bonnor-Melvin magnetic space-time, a four-dimensional solution featuring a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2024-10-15 Faizuddin Ahmed , Abdelmalek Bouzenada

We explicitly study and report the effects of the gravitational fields on the spectroscopic structure of Klein-Gordon (KG) particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field.…

General Relativity and Quantum Cosmology · Physics 2023-10-17 Omar Mustafa

This work studies the relativistic quantum dynamics of scalar bosons in a spacetime containing both a cosmic string and a global monopole within the framework of Rainbow Gravity. An effective metric is constructed to describe the combined…

General Relativity and Quantum Cosmology · Physics 2026-03-02 L. G. Barbosa , J. V. Zamperlini , L. C. N. Santos

We present an exact analytical study of Klein-Gordon (KG) scalar bosons and antibosons confined in the Bonnor-Melvin (BM) spacetime under a uniform magnetic field, incorporating rainbow gravity (RG) corrections with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Omar Mustafa , Abdullah Guvendi

We use two correlated metric functions and transform/deform the pointlike global monopole (PGM) spacetime metric into a quasi-PGM (QPGM) spacetime one. We study Klein-Gordon (KG) particles (manifestly introduced by the non-minimal coupling…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Omar Mustafa

We investigate the effect of rainbow gravity on Klein-Gordon (KG) bosons in the background of the magnetized Bonnor-Melvin (BM) spacetime with a cosmological constant. We first show that the very existence of the sinusoidal term…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Omar Mustafa , Abdullah Guvendi

In this analysis, we study the dynamics of quantum oscillator fields within the context of a position-dependent mass (PDM) system situated in an Einstein-Maxwell space-time, incorporating a non-zero cosmological constant. The magnetic field…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Faizuddin Ahmed , Abdelmalek Bouzenada

In this paper we analyze the energy levels of a charged scalar particle placed in the static cosmic string spacetime, under the action of a uniform magnetic field parallel to the string, in the context of the semi-classical approach of the…

General Relativity and Quantum Cosmology · Physics 2019-01-08 V. B. Bezerra , I. P. Lobo , H. F. Mota , C. R. Muniz

We study solutions for the Klein-Gordon equation with vector and scalar potentials of the Coulomb types under the influence of non-inertial effects in the space-time of topological defects. We also investigate a quantum particle described…

High Energy Physics - Theory · Physics 2018-02-14 L. C. N. Santos , C. C. Barros

We investigate Klein-Gordon (KG) oscillators in a G\"{o}% del-type Som-Raychaudhuri spacetime in a mixed magnetic field (given by the vector potential $A_{\mu }=\left( 0,0,A_{\varphi },0\right) $, with $% A_{\varphi }=B_{1}r^{2}/2+B_{2}r$).…

General Relativity and Quantum Cosmology · Physics 2024-08-01 Omar Mustafa
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