论文标题
新的三维常规黑洞的热力学稳定性
Thermodynamic stability of a new three dimensional regular black hole
论文作者
论文摘要
$(2+1)中常规黑洞的新模型是通过将适当的物质字段视为能量弹药张量来引入的。首先,我们提出了一个新型的模型,其中$ d $维的能量密度在$(2+1) - $尺寸中导致事件范围半径上存在上限,并且在黑孔的质量上有一个下限,这是由天体黑孔的特征激励的。根据这些边界,我们根据度量参数引入了事件范围半径的可允许域。在研究了所获得的溶液的几何特性后,我们研究了规范集合中溶液的热稳定性,并发现常规黑洞在上述可允许的域中是热稳定的。此外,计算吉布斯自由能,以检查溶液的整体稳定性。
A new model of the regular black hole in $(2+1)-$dimensions is introduced by considering an appropriate matter field as the energy-momentum tensor. First, we propose a novel model of $d$-dimensional energy density that in $(2+1)-$dimensions leads to the existence of an upper bound on the radius of the event horizon and a lower bound on the mass of the black hole which are motivated by the features of astrophysical black holes. According to these bounds, we introduce an admissible domain for the event horizon radius, depending on the metric parameters. After investigation of geometric properties of the obtained solutions, we study the thermal stability of the solution in the canonical ensemble and find that the regular black hole is thermally stable in the mentioned admissible domain. Besides, the Gibbs free energy is calculated to examine the global stability of the solution.