2020/12/31 by S. H. Hendi, Kh. Jafarzade · 27 citations
Physics and Astronomy · #AdS black hole #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Critical exponent #Critical phenomena #Critical radius #Dark energy #Equation of state #Mathematical physics #Phase transition #Physics #Quantum mechanics #Quintessence #RADIUS #SPHERES #Van der Waals equation #gr-qc #hep-th #van der Waals force
paper · pdf · doi:10.1103/physrevd.103.104011
published in Physical review. D/Physical review. D. 103(10) (American Physical Society) · 25 pages, 14 figures
openalex created_date 2021/01/05 · openalex publication_date 2021/05/10 · arxiv created 2021/05/12 · arxiv updated 2021/05/19 · openalex updated_date 2026/08/05
Considering the variable cosmological constant in the extended phase space has a significant background in the black hole physics. It has been shown that the thermodynamic behavior of charged anti--de Sitter black hole surrounded by the quintessence in the extended phase space is similar to the van der Waals fluid. In this paper, we indicate that such a black hole admits the same criticality and van der Waals--like behavior in the nonextended phase space. In other words, we keep the cosmological constant as a fixed parameter, and instead, we consider the normalization factor as a thermodynamic variable. We show that there is a first-order small/large black hole phase transition which is analogous to the liquid/gas phase transition in fluids. We introduce a new picture of the equation of state and then we calculate the corresponding critical quantities. Moreover, we obtain the critical exponents and show that they are the same values as of the van der Waals system. Finally, we study the photon sphere and the shadow observed by a distant observer and investigate how the shadow radius may be affected by the variation of black hole parameters. We also investigate the relations between shadow radius and phase transitions and calculate the critical shadow radius where the black hole undergoes a second-order phase transition.