论文标题
Bardeen黑洞的热力学特性大量重力
Thermodynamic properties of Bardeen black holes in dRGT massive gravity
论文作者
论文摘要
Bardeen黑洞解决方案是基于Sakharov和Gliner建议的第一个球形对称的常规黑洞，它是Schwarzschild黑洞的修改。我们介绍了在De Rham，Gabadaadze和Tolly（DRGT）大量重力的情况下，Bardeen Black Hole溶液在存在非线性源的情况下是常规的。在没有大量重力参数的情况下，获得的溶液将减少到Bardeen黑洞，而当磁性电荷$ G = 0 $时，Schwarzschild黑洞。我们调查了热力学数量，即质量（m），温度$（t）$，熵（$ s $）和自由能$（f）$，就规范和大规范的合奏而言。我们通过研究热容量和自由能来检查获得解决方案的局部和全球稳定性。热容量以$ r = r_c $更改标志。黑洞在热力学上是稳定的，其热量$ c> 0 $（即，全球偏爱，负自由能$ f <0 $）。此外，我们研究了两个合奏中获得的溶液的相结构。
The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is a modification of the Schwarzschild black hole. We present the Bardeen black hole solution in the presence of the de Rham, Gabadaadze, and Tolly (dRGT) massive gravity, which is regular everywhere in the presence of a nonlinear source. The obtained solution reduces to the Bardeen black hole in the absence of a massive gravity parameter, and the Schwarzschild black hole when magnetic charge $g = 0$. We investigated the thermodynamic quantities, that is, mass (M), temperature $(T)$, entropy ($S$), and free energy $(F)$, in terms of the horizon radius for both canonical and grand canonical ensembles. We checked the local and global stability of the obtained solution by studying the heat capacity and free energy. The heat capacity changes sign at $r = r_c$. The black hole is thermodynamically stable with a positive heat capacity $C > 0$ (i.e., globally preferred with negative free energy $F < 0$). In addition, we studied the phase structure of the obtained solution in both ensembles.
