Relativistic quantum dynamics of scalar particles in the rainbow formalism of gravity

被引：19

作者：

Kangal, E. E. ^{[1
]}

Salti, M. ^{[2
]}

Aydogdu, O. ^{[2
]}

Sogut, K. ^{[2
]}

机构：

[1] Mersin Univ, Erdemli Sch Appl Technol & Management, Comp Technol & Informat Syst, TR-33740 Mersin, Turkey

[2] Mersin Univ, Fac Arts & Sci, Dept Phys, TR-33343 Mersin, Turkey

来源：

PHYSICA SCRIPTA | 2021年 / 96卷 / 09期

关键词：

Klein-Gordon equation; curved spacetime; rainbow gravity; KLEIN-GORDON OSCILLATOR; DIRAC OSCILLATOR; BLACK-HOLES; SPACETIME; EQUATION; GODEL; CAUSALITY; EINSTEIN; CURVES; BOSONS;

D O I：

10.1088/1402-4896/ac02f1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present article, we investigate the Klein-Gordon equation (KGE) in a topologically trivial Godel-type space-time in the context of rainbow gravity (RG). Exact solutions and energy spectrum of scalar particles are obtained for the considered model. Also, the same systems are studied with the existence of the Klein-Gordon oscillator (KGO) potential. Results are evaluated by considering two different rainbow functions and they are analyzed graphically. We observe that the energy spectrum of scalar particles is modified by rainbow functions compared to the solutions obtained via the ordinary general relativity (GR) theory.

引用

页数：9

共 62 条

[1] A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation
Ahmed, Faizuddin
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 68 (06) : 735 - 740
[2] Absence of an effective Horizon for black holes in Gravity's Rainbow
Ali, Ahmed Farag
Faizal, Mir
Majumder, Barun
[J]. EPL, 2015, 109 (02)
[3] Black hole remnant from gravity's rainbow
Ali, Ahmed Farag
[J]. PHYSICAL REVIEW D, 2014, 89 (10):
[4] Tests of quantum gravity from observations of γ-ray bursts
Amelino-Camelia, G
Ellis, J
Mavromatos, NE
Nanopoulos, DV
Sarkar, S
[J]. NATURE, 1998, 393 (6687) : 763 - 765
[5] Amelino-Camelia G, 2002, INT J MOD PHYS D, V11, P35, DOI [10.1142/S0218271802001330, 10.1142/S021827180200302X]
[6] Quantum-Spacetime Phenomenology
Amelino-Camelia, Giovanni
[J]. LIVING REVIEWS IN RELATIVITY, 2013, 16
[7] Nonsingular rainbow universes
Awad, Adel
Ali, Ahmed Farag
Majumder, Barun
[J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2013, (10):
[8] Dirac oscillator in the cosmic string spacetime in the context of gravity's rainbow
Bakke, K.
Mota, H.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (10):
[9] On the interaction of the Dirac oscillator with the Aharonov-Casher system in topological defect backgrounds
Bakke, K.
Furtado, C.
[J]. ANNALS OF PHYSICS, 2013, 336 : 489 - 504
[10] Relativistic bounds states for a neutral particle confined to a parabolic potential induced by noninertial effects
Bakke, K.
[J]. PHYSICS LETTERS A, 2010, 374 (46) : 4642 - 4646

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