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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

In this research contribution, we explore the relativistic quantum dynamics of spin-0 scalar particles within a curved space-time background containing topological defects, while incorporating the effects of rainbow gravity. The Klein…

General Relativity and Quantum Cosmology · Physics 2024-01-31 Faizuddin Ahmed , Abdelmalek Bouzenada

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 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 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

We investigate the classical and quantum dynamics of $f(R)$ gravity's rainbow in the presence of a perfect fluid, employing Schutz's formalism to establish a well-defined notion of time. In the classical regime, we derive and solve the…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Andrés Burton-Villalobos , Giovanni Otalora , Manuel Gonzalez-Espinoza , Yoelsy Leyva

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 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 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 this paper we consider the Dirac oscillator in the context of Doubly General Relativity or Gravity's Rainbow. In order to obtain the energy levels of the Dirac oscillator, we solve the Dirac equation in the cosmic string spacetime…

General Relativity and Quantum Cosmology · Physics 2019-02-28 K. Bakke , H. Mota

In this letter, we describe a general mechanism for emergence of a rainbow metric from a quantum cosmological model. This idea is based on QFT on a quantum space-time. Under general assumptions, we discover that the quantum space-time on…

General Relativity and Quantum Cosmology · Physics 2015-10-29 Mehdi Assanioussi , Andrea Dapor , Jerzy Lewandowski

Rainbow gravity modifies general relativity by introducing an energy dependent metric, which is expected to have a role in the quantum theory of black holes and in quantum gravity at Planck energy scale. We show that rainbow gravity can be…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Maria Chiara Braidotti , Claudio Conti

The formalism of rainbow gravity is studied in a cosmological setting. We consider the very early universe which is radiation dominated. A novel treatment in our paper is to look for an ``averaged'' cosmological metric probed by radiation…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Yi Ling

In this work, we explore the possibility that quantum fluctuations induce a topology change, in the context of Gravity's Rainbow. A semi-classical approach is adopted, where the graviton one-loop contribution to a classical energy in a…

General Relativity and Quantum Cosmology · Physics 2014-08-21 Remo Garattini , Francisco S. N. Lobo

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

In this study, we survey the generalized Duffin-Kemmer-Petiau oscillator containing a non-minimal coupling interaction in the context of rainbow gravity in the presence of cosmic topological defects in space-time. In this regard, we intend…

Quantum Physics · Physics 2021-12-20 M. Hosseinpour , H. Hassanabadi , J. Kříž , S. Hassanabadi , B. C. Lütfüoğlu

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

Various approaches to quantum gravity such as string theory, loop quantum gravity and Horava-Lifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ahmed Farag Ali , Mohammed M. Khalil

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…

High Energy Physics - Theory · Physics 2020-10-14 K. Bakke , H. Mota

In the present paper we investigate the effects caused by the modification of the dispersion relation obtained by solving the Klein-Gordon equation in the closed Einstein's universe in the context of rainbow's gravity models. Thus, we…

General Relativity and Quantum Cosmology · Physics 2018-01-17 V. B. Bezerra , H. F. Mota , C. R. Muniz
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