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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

We examine the effects of gravitational fields produced by topological defects on a Dirac field and a Dirac oscillator in a spinning cosmic string spacetime. We obtain the eigenfunctions and the energy levels of the relativistic field in…

High Energy Physics - Theory · Physics 2019-04-15 Mansoureh Hosseinpour , Hassan Hassanabadi , Marc de Montigny

In this paper, we study the relativistic and nonrelativistic Landau levels for Dirac fermions in the cosmic string spacetime in the context of rainbow gravity in $(3+1)$-dimensions, where we work with the curved Dirac equation with minimal…

General Relativity and Quantum Cosmology · Physics 2024-03-05 R. R. S. Oliveira

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 this paper, we study the relativistic energy spectrum for Dirac fermions under rainbow gravity effects in the $(3+1)$-dimensional Bonnor-Melvin-Lambda spacetime, where we work with the curved Dirac equation in cylindrical coordinates.…

General Relativity and Quantum Cosmology · Physics 2024-05-22 R. R. S. Oliveira

In this article, we study topological and noninertial effects on the motion of the two-dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov-Bohm potential. We obtain the Dirac equation that describes the…

High Energy Physics - Theory · Physics 2020-11-24 Márcio M. Cunha , Henrique S. Dias , Edilberto O. Silva

In this paper, we study the various cylindrical solutions (cosmic strings) in gravity's rainbow scenario. In particular, we calculate the gravitational field equations corresponding to energy-dependent background. Further, we discuss the…

General Relativity and Quantum Cosmology · Physics 2017-08-03 Davood Momeni , Sudhaker Upadhyay , Yerlan Myrzakulov , Ratbay Myrzakulov

In this contribution, we study the Dirac oscillator under the influence of noninertial effects of a rotating frame in the cosmic string spacetime. We show that both noninertial effects and the topology of the cosmic string spacetime…

Quantum Physics · Physics 2013-08-28 K. Bakke

In this paper, we study the influence of the Aharonov-Casher effect [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984).] on the Dirac oscillator in three different scenarios of general relativity: the Minkowski spacetime, the…

Quantum Physics · Physics 2013-07-11 K. Bakke , C. Furtado

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

In this paper, we determine the relativistic bound-state solutions for the Dirac oscillator (DO) in the curved spacetime of a cloud of strings in $(3+1)$-dimensions, where such solutions are given by the four-component normalized Dirac…

High Energy Physics - Theory · Physics 2026-05-13 R. R. S. Oliveira

In this work, we study the Aharonov-Casher effect in the $(2+1)$-dimensional Dirac oscillator coupled to an external electromagnetic field. We set up our system in two different scenarios: in the Minkowski spacetime and the cosmic string…

Quantum Physics · Physics 2018-10-29 R. R. S. Oliveira , R. V. Maluf , C. A. S. Almeida

We analyze the electrostatic self-energy of a point like electrically charged particle induced by a cosmic string in the context of gravity's rainbow, as well the electrostatic self-force on this particle. The possibility of the solution…

General Relativity and Quantum Cosmology · Physics 2020-01-08 L. C. N. Santos , V. B. Bezerra

In this paper, we investigate the quantum dynamics of scalar and oscillator fields in a topological defect space-time background under the influence of rainbow gravity's. The rainbow gravity's are introduced into the considered cosmological…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Faizuddin Ahmed , Abdelmalek Bouzenada

The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation and solve it in the limit of the spin…

High Energy Physics - Theory · Physics 2019-07-18 Daniel F. Lima , Fabiano M. Andrade , Luis B. Castro , Cleverson Filgueiras , Edilberto O. Silva

In this paper, we study the influence of noninertial effects on the Dirac oscillator in the cosmic string spacetime background. We discuss the behaviour of the oscillator frequency in a noninertial system that allows us to obtain…

General Relativity and Quantum Cosmology · Physics 2012-09-04 Knut Bakke

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 study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravitational fields produced by topological defects on the scalar…

High Energy Physics - Theory · Physics 2018-03-14 Mansoureh Hosseinpour , Hassan Hassanabadi , Fabiano M. Andrade

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

Confirming the existence of compact objects with a mass greater than $2.5M_{\odot}$ by observational results such as GW190814 makes that is possible to provide theories to justify these observational results using modified gravity. This…

General Relativity and Quantum Cosmology · Physics 2023-11-23 A. Bagheri Tudeshki , G. H. Bordbar , B. Eslam Panah
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