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Solution of Dirac equation and greybody radiation around a regular Bardeen black hole surrounded by quintessence

机译:Dirac方程和灰体辐射围绕Quintessence周围的常规Bardeen黑洞辐射

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The exact solutions of the Dirac equation that describe a massive, non-charged particle with spin-1/2 in the curved space-time geometry of regular Bardeen black hole surrounded by quintessence (BBHSQ) are investigated. We first derive the Dirac equation in the BBHSQ background using a null tetrad in the Newman-Penrose formalism. Afterwards, we separate the Dirac equation into ordinary differential equations for the radial and angular parts. The angular equations are solved exactly in terms of standard spherical harmonics. The radial part equations are transformed into one-dimensional Schrodinger like wave equations with effective potentials. The effect of the quintessence on the regular Bardeen black hole is analyzed via the physical behaviors of the effective potentials. We also exhibit the potential graphs by changing the quintessence parameters, magnetic monopole charge parameter, and the frequency of the particle in the physically acceptable regions. Finally, we study the greybody factors of bosons and fermions from the BBHSQ. (C) 2019 Elsevier Inc. All rights reserved.
机译:研究了描述了由Quintessence(BBHSQ)围绕的弧形空间几何形状的旋转空间几何形状中具有Spin-1/2的巨型非荷力颗粒的狄拉克方程的精确解。我们首先使用Newman-Penrose形式主义中的零点来源于BBHSQ背景中的DIDAC方程。然后,我们将DIRAC方程分离成径向和角部的常微分方程。角度方程在标准球形谐波方面完全解决。径向部分方程被转换为具有有效电位的波纹方程的一维Schrodinger。通过有效电位的物理行为分析了Quintessence对常规牛流黑洞的影响。我们还通过在物理上可接受的区域改变粒度参数,磁线电荷电荷参数和粒子的频率来表现出潜在的图表。最后,我们研究了BBHSQ的玻色子和费米子的灰烬因素。 (c)2019 Elsevier Inc.保留所有权利。

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