• Open Access

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

S. H. Hendi and Kh. Jafarzade
Phys. Rev. D 103, 104011 – Published 10 May 2021

Abstract

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.

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  • Received 17 August 2020
  • Revised 19 March 2021
  • Accepted 12 April 2021

DOI:https://doi.org/10.1103/PhysRevD.103.104011

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

S. H. Hendi1,2,3,* and Kh. Jafarzade4,5,†

  • 1Department of Physics, School of Science, Shiraz University, Shiraz 71454, Iran
  • 2Biruni Observatory, School of Science, Shiraz University, Shiraz 71454, Iran
  • 3Canadian Quantum Research Center, 204-3002 32 Ave Vernon, British Columbia V1T 2L7, Canada
  • 4Department of Theoretical Physics, Faculty of Basic Sciences, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran
  • 5ICRANet-Mazandaran, University of Mazandaran, P.O. Box 47416-95447, Babolsar, Iran

  • *Corresponding author. hendi@shirazu.ac.ir
  • khadije.jafarzade@gmail.com

Article Text

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Issue

Vol. 103, Iss. 10 — 15 May 2021

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