Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
作者： Seyed Hossein Hendi , Ali Dehghani
DOI:
关键词: Grand canonical ensemble 、 Graviton 、 Phase transition 、 Black hole 、 Mathematical physics 、 Charged black hole 、 Physics 、 Gravitational field 、 Einstein 、 Massive gravity
摘要: In the context of Black Hole Chemistry (BHC), holographic phase transitions asymptotically anti-de Sitter (AdS) charged topological black holes (TBHs) in massive gravity coupled to Power Maxwell Invariant (PMI) electrodynamics are discussed grand canonical (fixed $U(1)$ potential, $\Phi$) ensemble. Considering all higher-order graviton's self-interactions (dRGT) gravitational field theory arbitrary dimensions, exact TBH solutions derived, explicit form on-shell action is computed, and associated thermodynamic quantities Grand Canonical Ensemble (GCE) calculated. addition, validity first law thermodynamics Smarr relation examined extended space. Regarding this model, it shown that a van der Waals (vdW) behavior takes place $d \ge 4$ typical reentrant transition observed 5$, both anomalous vdW triple point phenomena recognized 6$. So, results quite different from their counterparts GCE Maxwell-massive gravity. Besides, we briefly study critical behaviors higher-dimensional TBHs with conformally invariant source as special subgroup our for Einstein theories various ensembles.
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