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Relativistic quantum dynamics of scalar particles in the rainbow formalism of gravity
Physica Scripta ( IF 2.9 ) Pub Date : 2021-05-28 , DOI: 10.1088/1402-4896/ac02f1
E E Kangal 1 , M Salti 2 , O Aydogdu 2 , K Sogut 2
Affiliation  

In the present article, we investigate the Klein–Gordon equation (KGE) in a topologically trivial Gdel-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.



中文翻译:

彩虹引力形式中标量粒子的相对论量子动力学

在本文中,我们研究了彩虹引力 (RG) 背景下拓扑微不足道的 Gdel 型时空中的 Klein-Gordon 方程 (KGE)。对于所考虑的模型,可以获得标量粒子的精确解和能谱。此外,在存在 Klein-Gordon 振荡器 (KGO) 势的情况下研究了相同的系统。通过考虑两种不同的彩虹函数来评估结果,并以图形方式对其进行分析。我们观察到,与通过普通广义相对论 (GR) 理论获得的解相比,标量粒子的能谱被彩虹函数修改。

更新日期:2021-05-28
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