Astroparticle Physics ( IF 3.5 ) Pub Date : 2021-07-02 , DOI: 10.1016/j.astropartphys.2021.102623 Qanitah Ama-Tul-Mughani 1 , Wardat us Salam 1 , Rabia Saleem 1
The main aim of this work is to construct an analytical expression of greybody factor (GBF) for regular Bardeen black hole (BH) surrounded by perfect fluid dark matter (PFDM). To this end, we first analyze the profile of effective potential by transforming the radial part of Klein–Gordon (KG) equation into standard Schrödinger equation. Afterwards, the two asymptotic solutions are found in distinct regions, namely, BH and far-field horizons. To extend the viability of the derived solutions over the whole radial regime, we match them smoothly in an intermediate region. It is found that as the intensity of PFDM decreases around the BH, its attractive behavior decreases (the ability of attracting radiations towards itself decreases). As a result, the less radiations can reach infinity and hence the greybody factor decreases. We also study the effect of thermal fluctuations on thermodynamics of regular BH surrounded by PFDM. For this purpose, we compute corrected entropy near the equilibrium position which implies modification in other thermodynamic potentials. It is concluded that in the presence of quantum corrections, the large BHs becomes stable due to positive range of specific heat.
中文翻译:
PFDM 包围的常规 Bardeen 黑洞的灰体因子
这项工作的主要目的是为被完美流体暗物质 (PFDM) 包围的规则巴丁黑洞 (BH) 构建灰体因子 (GBF) 的解析表达式。为此,我们首先通过将 Klein-Gordon (KG) 方程的径向部分转化为标准薛定谔方程来分析有效势的分布。之后,在不同的区域,即 BH 和远场视界中找到了两个渐近解。为了在整个径向范围内扩展导出解决方案的可行性,我们在中间区域平滑地匹配它们。发现随着 PFDM 在 BH 周围的强度降低,其吸引行为降低(将辐射吸引到自身的能力降低)。结果,较少的辐射可以达到无穷大,因此灰体因子降低。我们还研究了热波动对 PFDM 包围的常规 BH 热力学的影响。为此,我们计算平衡位置附近的校正熵,这意味着其他热力学势的修改。得出的结论是,在存在量子校正的情况下,由于比热的正范围,大 BHs 变得稳定。