论文标题
非线性充电的黑洞化学反应在大规范合奏中具有巨大的吸引力
Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
论文作者
论文摘要
在黑洞化学（BHC）的背景下，在大型重力中与Power Maxwell Inforticiant（PMI）电动动力学偶联的渐近抗DE保姆（ADS）带电拓扑黑洞（TBHS）的全息相变（固定的$（1）$ U（1）$ U（1）考虑到所有高阶重力在任意维度中的（DRGT）大量引力场理论的自我互动，得出了精确的TBH溶液，计算出壳动作的明确形式，并计算大型典型集合（GCE）中相关的热力学数量。此外，在扩展相空间中检查了热力学和SMARR关系的第一定律的有效性。关于此模型，可以证明范德华（VDW）行为发生在$ d \ ge 4 $尺寸中，在$ d \ ge 5 $中观察到了典型的再入射相变，并且在$ d \ ge 6 $中都识别出异常的VDW和三重点现象。因此，结果与麦克斯韦质量重力的GCE中的结果完全不同。此外，我们简要研究了具有综合不变的麦克斯韦来源的高维tbhs的临界行为，这是我们在各种合奏中针对爱因斯坦和大量重力理论的解决方案的特殊亚组。
In the context of Black Hole Chemistry (BHC), holographic phase transitions of asymptotically anti-de Sitter (AdS) charged topological black holes (TBHs) in massive gravity coupled to Power Maxwell Invariant (PMI) electrodynamics are discussed in the grand canonical (fixed $U(1)$ potential, $Φ$) ensemble. Considering all higher-order graviton's self-interactions of (dRGT) massive gravitational field theory in arbitrary dimensions, exact TBH solutions are derived, the explicit form of the on-shell action is computed, and the associated thermodynamic quantities in the Grand Canonical Ensemble (GCE) are calculated. In addition, the validity of the first law of thermodynamics and Smarr relation are examined in the extended phase space. Regarding this model, it is shown that a van der Waals (vdW) behavior takes place in $d \ge 4$ dimensions, a typical reentrant phase transition is observed in $d \ge 5$, and both anomalous vdW and triple point phenomena are recognized in $d \ge 6$. So, the results are quite different from their counterparts in the GCE of Maxwell-massive gravity. Besides, we briefly study the critical behaviors of higher-dimensional TBHs with a conformally invariant Maxwell source as a special subgroup of our solutions for both Einstein and massive gravity theories in various ensembles.
