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Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
Journal of Cosmology and Astroparticle Physics ( IF 5.3 ) Pub Date : 2021-04-14 , DOI: 10.1088/1475-7516/2021/04/036
Sohan KumarJha 1 , Himangshu Barman 2 , Anisur Rahaman 2
Affiliation  

A metric with a Lorentz violating parameter is associated with the bumblebee gravity model. We study the motion of a particle in this bumblebee background where the dynamical variables satisfy non-canonical Snyder algebra along with some critical survey on the classical observations in the bumblebee background to see how these would likely differ from Schwarzschild background. It has been found that the perihelion shift acquires a generalized expression with two independent parameters. One of these two is connected with the Lorentz violating factor and the other is involved in the Snyder algebraic formulation. We also observe that the time period of revolution, in general, acquires a Lorentz violating factor in the bumblebee background, however, for the circular orbit, it remains unchanged even in the presence of the Lorentz violating factor in the bumblebee background. The parameters used here can be constrained with the same type of conjecture used earlier.



中文翻译:

斯奈德非对易时空结构中的大黄蜂重力和粒子运动

具有洛伦兹违反参数的度量与大黄蜂重力模型相关联。我们研究了粒子在这种大黄蜂背景中的运动,其中动力学变量满足非规范 Snyder 代数,同时对大黄蜂背景中的经典观察进行了一些批判性调查,以了解这些与 Schwarzschild 背景有何不同。已经发现近日点偏移获得具有两个独立参数的广义表达式。这两个中的一个与洛伦兹违反因子有关,另一个与 Snyder 代数公式有关。我们还观察到,一般来说,公转时间段在大黄蜂背景中获得了洛伦兹违反因子,然而,对于圆形轨道,即使在大黄蜂背景中存在洛伦兹违反因子,它也保持不变。这里使用的参数可以用之前使用的相同类型的猜想来约束。

更新日期:2021-04-14
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