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Advances in High Energy Physics
Volume 2015, Article ID 743086, 12 pages
http://dx.doi.org/10.1155/2015/743086
Research Article

Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes

1Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran
2Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran

Received 20 April 2015; Revised 29 June 2015; Accepted 6 July 2015

Academic Editor: George Siopsis

Copyright © 2015 Seyed Hossein Hendi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Citations to this Article [30 citations]

The following is the list of published articles that have cited the current article.

  • S. H. Hendi, A. Sheykhi, S. Panahiyan, and B. Eslam Panah, “Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes,” Physical Review D, vol. 92, no. 6, 2015. View at Publisher · View at Google Scholar
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  • S. H. Hendi, S. Panahiyan, and B. Eslam Panah, “P–V criticality and geometrical thermodynamics of black holes with Born–Infeld type nonlinear electrodynamics,” International Journal of Modern Physics D, pp. 1650010, 2015. View at Publisher · View at Google Scholar
  • S. H. Hendi, S. Panahiyan, B. Eslam Panah, and Z. Armanfard, “Phase transition of charged Black Holes in Brans–Dicke theory through geometrical thermodynamics,” The European Physical Journal C, vol. 76, no. 7, 2016. View at Publisher · View at Google Scholar
  • S. H. Hendi, Mir Faizal, B. Eslam Panah, and S. Panahiyan, “Charged dilatonic black holes in gravity’s rainbow,” The European Physical Journal C, vol. 76, no. 5, 2016. View at Publisher · View at Google Scholar
  • Jie-Xiong Mo, Gu-Qiang Li, and Yu-Cheng Wu, “A consistent and unified picture for critical phenomena of f(R) AdS black holes,” Journal of Cosmology and Astroparticle Physics, vol. 2016, no. 04, pp. 045–045, 2016. View at Publisher · View at Google Scholar
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  • Sayan Basak, Pankaj Chaturvedi, Poulami Nandi, and Gautam Sengupta, “Thermodynamic geometry of holographic superconductors,” Physics Letters B, vol. 753, pp. 493–499, 2016. View at Publisher · View at Google Scholar
  • S. H. Hendi, S. Panahiyan, B. Eslam Panah, and M. Momennia, “Phase transition of charged black holes in massive gravity through new methods,” Annalen der Physik, 2016. View at Publisher · View at Google Scholar
  • Seyed Hossein Hendi, Behzad Eslam Panah, and Shahram Panahiyan, “Three-dimensional dilatonic gravity's rainbow: Exact solutions,” Progress of Theoretical and Experimental Physics, vol. 2016, no. 10, pp. 103A02, 2016. View at Publisher · View at Google Scholar
  • Seyed Hossein Hendi, Gu-Qiang Li, Jie-Xiong Mo, Shahram Panahiyan, and Behzad Eslam Panah, “New perspective for black hole thermodynamics in Gauss–Bonnet–Born–Infeld massive gravity,” The European Physical Journal C, vol. 76, no. 10, 2016. View at Publisher · View at Google Scholar
  • S. H. Hendi, S. Panahiyan, and B. Eslam Panah, “Charged black hole solutions in Gauss-Bonnet-massive gravity,” Journal of High Energy Physics, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • S. H. Hendi, S. Panahiyan, S. Upadhyay, and B. Eslam Panah, “Charged BTZ black holes in the context of massive gravity’s rainbow,” Physical Review D, vol. 95, no. 8, 2017. View at Publisher · View at Google Scholar
  • Momennia, Hendi, Panahiyan, and Eslam Panah, “Einstein-Gauss-Bonnet black holes with a perturbative nonlinear electrodynamics: Geometrical thermodynamics,” International Journal of Modern Physics D, vol. 26, no. 4, 2017. View at Publisher · View at Google Scholar
  • Wen-Yu Wen, “Thermodynamic metric of deformed Schwarzschild black holes,” International Journal of Modern Physics D, pp. 1750106, 2017. View at Publisher · View at Google Scholar
  • S.H. Hendi, B. Eslam Panah, and S. Panahiyan, “Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches,” Physics Letters B, 2017. View at Publisher · View at Google Scholar
  • S.H. Hendi, B. Eslam Panah, S. Panahiyan, and A. Sheykhi, “Dilatonic BTZ black holes with power-law field,” Physics Letters B, 2017. View at Publisher · View at Google Scholar
  • S. H. Hendi, B. Eslam Panah, S. Panahiyan, and M. S. Talezadeh, “Geometrical thermodynamics and P–V criticality of the black holes with power-law Maxwell field,” The European Physical Journal C, vol. 77, no. 2, 2017. View at Publisher · View at Google Scholar
  • M. Dehghani, and S. F. Hamidi, “Nonlinearly charged black holes in the scalar-tensor modified gravity theory,” Physical Review D, vol. 96, no. 10, 2017. View at Publisher · View at Google Scholar
  • S. H. Hendi, M. S. Talezadeh, and Z. Armanfard, “Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics,” Advances in High Energy Physics, vol. 2017, pp. 1–13, 2017. View at Publisher · View at Google Scholar
  • J. Pakravan, and M. V. Takook, “Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory,” Journal of Theoretical and Applied Physics, 2018. View at Publisher · View at Google Scholar
  • M. Dehghani, “Thermodynamic properties of dilaton black holes with nonlinear electrodynamics,” Physical Review D, vol. 98, no. 4, 2018. View at Publisher · View at Google Scholar
  • Ganim Gecim, and Yusuf Sucu, “The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole,” Advances in High Energy Physics, vol. 2018, pp. 1–8, 2018. View at Publisher · View at Google Scholar
  • M. Dehghani, “Thermodynamics of new black hole solutions in the Einstein–Maxwell-dilaton gravity,” International Journal of Modern Physics D, pp. 1850073, 2018. View at Publisher · View at Google Scholar
  • M. Dehghani, “Thermodynamic properties of charged three-dimensional black holes in the scalar-tensor gravity theory,” Physical Review D, vol. 97, no. 4, 2018. View at Publisher · View at Google Scholar
  • Ganim Gecim, and Yusuf Sucu, “Quantum gravity effect on the Hawking radiation of charged rotating BTZ black hole,” General Relativity and Gravitation, vol. 50, no. 12, 2018. View at Publisher · View at Google Scholar
  • M. Dehghani, “Nonlinearly charged three-dimensional black holes in the Einstein-dilaton gravity theory,” The European Physical Journal Plus, vol. 133, no. 11, 2018. View at Publisher · View at Google Scholar
  • B. Eslam Panah, “Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: Gravity's rainbow,” Physics Letters B, 2018. View at Publisher · View at Google Scholar
  • S. N. Sajadi, N. Riazi, and S. H. Hendi, “Dynamical and thermal stabilities of nonlinearly charged AdS black holes,” The European Physical Journal C, vol. 79, no. 9, 2019. View at Publisher · View at Google Scholar
  • M. Dehghani, “ Nonlinearly charged scalar-tensor black holes in ( 2 + 1 ) dimensions ,” Physical Review D, vol. 99, no. 10, 2019. View at Publisher · View at Google Scholar