Abstract
Based on Reissner-Nordstrom-anti-de Sitter(RN-AdS) black hole surrounded by perfect fluid dark matter, we study the thermodynamics and phase transition by extending the phase space defined by the charge square Q2 and the conjugate quantity ψ, where ψ is a function of horizon radius. The first law of thermodynamics and the equation of state are derived in the form Q2=Q2(T,ψ). By investigating the critical behaviour of perfect fluid dark matter around Reissner-Nordstrom-anti-de Sitter black hole, we find that these thermodynamics system are similar to Van der Waals system and can be explained by mean field theory. We also explore the Ruppeiner thermodynamic geometry feature and their connection with microscopic structure. We find that in extended phase space there are existence singularity points of Ruppeiner curvature and they could explained as phase transitions.
Highlights
Black hole thermodynamics are one of the most important topics in modern physics research and have been widely studied in recent years
We study the perfect fluid dark matter influence on thermodynamics and phase transition of ReissnerNordstrom-AdS black hole by extending phase space defined by the charge square Q2 and conjugate quantity ψ
We analyze the critical behaviour of dark matter around Reissner-Nordstrom-AdS black hole and find that these thermodynamics system resemble the Van der Waals system which can be explained by mean field theory
Summary
Black hole thermodynamics are one of the most important topics in modern physics research and have been widely studied in recent years. The Rerssner-Nordstrom black hole and RerssnerNordstrom-dS black hole have been studied by Ghaderi & Malakolkalami [34]; Wei & Chu [36]; Wei & Ren [37]; Thomas et al [38]; Mandal & Biswas [39]; Ma et al [40]; the thermodynamics [41, 42] and phase transition through holography framework for Reissner-Nordstrom-AdS black hole have been investigated [43] Following these works, the cold dark matter around black hole in phantom field background have been obtained by Li & Yang [44], and references therein. We study the thermodynamics and phase transition of Reissner-Nordstrom-AdS black hole surround by perfect fluid dark matter. It is interesting to note that this black hole solution implies that the rotational velocity is asymptotically flat in the equatorial plane, which could explain the observed rotation curves in spiral galaxies [28, 29, 44]
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