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Advances in High Energy Physics
Volume 2015, Article ID 134815, 8 pages
http://dx.doi.org/10.1155/2015/134815
Research Article

Phase Transition of the Higher Dimensional Charged Gauss-Bonnet Black Hole in de Sitter Spacetime

1Department of Physics, Shanxi Datong University, Datong 037009, China
2Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China

Received 26 November 2014; Revised 21 February 2015; Accepted 23 February 2015

Academic Editor: Chao-Qiang Geng

Copyright © 2015 Meng-Sen Ma 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.

Linked References

  1. J. D. Bekenstein, “Extraction of energy and charge from a black hole,” Physical Review D, vol. 7, no. 4, pp. 949–953, 1973. View at Publisher · View at Google Scholar
  2. J. M. Bardeen, B. Carter, and S. W. Hawking, “The four laws of black hole mechanics,” Communications in Mathematical Physics, vol. 31, pp. 161–170, 1973. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. S. W. Hawking, “Black hole explosions?” Nature, vol. 248, no. 5443, pp. 30–31, 1974. View at Publisher · View at Google Scholar · View at Scopus
  4. S. W. Hawking, “Particle creation by black holes,” Communications in Mathematical Physics, vol. 43, no. 3, pp. 199–220, 1975. View at Publisher · View at Google Scholar · View at MathSciNet
  5. S. W. Hawking and D. N. Page, “Thermodynamics of black holes in anti-de Sitter space,” Communications in Mathematical Physics, vol. 87, no. 4, pp. 577–588, 1983. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Physical Review D, vol. 60, no. 6, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  7. A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Holography, thermodynamics, and fluctuations of charged AdS black holes,” Physical Review D, vol. 60, no. 10, 20 pages, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  8. A. Sahay, T. Sarkar, and G. Sengupta, “Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes,” Journal of High Energy Physics, vol. 2010, article 118, 2010. View at Publisher · View at Google Scholar
  9. A. Sahay, T. Sarkar, and G. Sengupta, “On the thermodynamic geometry and critical phenomena of AdS black holes,” Journal of High Energy Physics, no. 7, article 082, 44 pages, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. A. Sahay, T. Sarkar, and G. Sengupta, “On the phase structure and thermodynamic geometry of R-charged black holes,” Journal of High Energy Physics, vol. 2010, article 125, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  11. R. Banerjee, S. Ghosh, and D. Roychowdhury, “New type of phase transition in Reissner Nordström-AdS black hole and its thermodynamic geometry,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 696, no. 1-2, pp. 156–162, 2011. View at Publisher · View at Google Scholar · View at Scopus
  12. R. Banerjee, S. K. Modak, and S. Samanta, “Second order phase transition and thermodynamic geometry in Kerr-AdS black holes,” Physical Review D, vol. 84, no. 6, Article ID 064024, 2011. View at Publisher · View at Google Scholar
  13. R. Banerjee and D. Roychowdhury, “Thermodynamics of phase transition in higher dimensional AdS black holes,” Journal of High Energy Physics, vol. 2011, article 4, 2011. View at Publisher · View at Google Scholar
  14. R. Banerjee and D. Roychowdhury, “Critical phenomena in Born-Infeld AdS black holes,” Physical Review D, vol. 85, no. 4, Article ID 044040, 2012. View at Publisher · View at Google Scholar · View at Scopus
  15. R. Banerjee and D. Roychowdhury, “Critical behavior of Born-Infeld AdS black holes in higher dimensions,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 85, no. 10, Article ID 104043, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. A. Lala and D. Roychowdhury, “Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes,” Physical Review D—Particles, Fields, Gravitation and Cosmology, vol. 86, no. 8, Article ID 084027, 2012. View at Publisher · View at Google Scholar · View at Scopus
  17. B. R. Majhi and D. Roychowdhury, “Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity,” Classical and Quantum Gravity, vol. 29, no. 24, Article ID 245012, 12 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. D. Kastor, S. Ray, and J. Traschen, “Enthalpy and the mechanics of AdS black holes,” Classical and Quantum Gravity, vol. 26, Article ID 195011, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. D. Kastor, S. Ray, and J. Traschen, “Smarr formula and an extended first law for Lovelock gravity,” Classical and Quantum Gravity, vol. 27, no. 23, Article ID 235014, 17 pages, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. B. P. Dolan, “The cosmological constant and black-hole thermodynamic potentials,” Classical and Quantum Gravity, vol. 28, Article ID 125020, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  21. S. Gunasekaran, D. Kubiznak, and R. B. Mann, “Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization,” Journal of High Energy Physics, vol. 2012, no. 11, article 110, 2012. View at Publisher · View at Google Scholar
  22. B. P. Dolan, “Compressibility of rotating black holes,” Physical Review D, vol. 84, Article ID 127503, 2011. View at Publisher · View at Google Scholar
  23. M. Cvetic, G. W. Gibbons, D. Kubiznak, and C. N. Pope, “Black hole enthalpy and an entropy inequality for the thermodynamic volume,” Physical Review D, vol. 84, no. 2, Article ID 024037, 17 pages, 2011. View at Publisher · View at Google Scholar
  24. D. Kubiznak and R. B. Mann, “P-V criticality of charged AdS black holes,” Journal of High Energy Physics, vol. 1207, article 33, 2012. View at Google Scholar · View at MathSciNet
  25. B. P. Dolan, “Where is the PdV in the first law of black hole thermodynamics?” in Open Questions in Cosmology, chapter 12, 2012. View at Publisher · View at Google Scholar
  26. S.-W. Wei and Y.-X. Liu, “Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 87, no. 4, Article ID 044014, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. R.-G. Cai, L.-M. Cao, L. Li, and R.-Q. Yang, “P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space,” Journal of High Energy Physics, vol. 2013, no. 9, article 5, 2013. View at Publisher · View at Google Scholar · View at Scopus
  28. W. Xu, H. Xu, and L. Zhao, “Gauss-bonnet coupling constant as a free thermodynamical variable and the associated criticality,” The European Physical Journal C, vol. 74, no. 7, article 2970, 2014. View at Publisher · View at Google Scholar
  29. D. C. Zou, Y. Liu, and B. Wang, “Critical behavior of charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble,” Physical Review D, vol. 90, no. 4, Article ID 044063, 2014. View at Publisher · View at Google Scholar
  30. S. H. Hendi and M. H. Vahidinia, “Extended phase space thermodynamics and P–V criticality of black holes with a nonlinear source,” Physical Review D, vol. 88, no. 8, Article ID 084045, 2013. View at Publisher · View at Google Scholar · View at Scopus
  31. R. Zhao, H.-H. Zhao, M.-S. Ma, and L.-C. Zhang, “On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes,” The European Physical Journal C, vol. 73,m article 2645, 2013. View at Publisher · View at Google Scholar
  32. N. Altamirano, D. Kubiznak, and R. Mann, “Reentrant phase transitions in rotating AdS black holes,” Physical Review D, vol. 88, no. 10, Article ID 101502, 5 pages, 2013. View at Publisher · View at Google Scholar
  33. S.-W. Wei and Y.-X. Liu, “Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space,” Physical Review D, vol. 90, no. 4, Article ID 044057, 2014. View at Publisher · View at Google Scholar
  34. B. P. Dolan, “Vacuum energy and the latent heat of AdS-Kerr black holes,” Physical Review D, vol. 90, no. 8, Article ID 084002, 2014. View at Publisher · View at Google Scholar
  35. B. Mirza and Z. Sherkatghanad, “Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space,” Physical Review D, vol. 90, no. 8, Article ID 084006, 2014. View at Publisher · View at Google Scholar
  36. R.-G. Cai, “Cardy-Verlinde formula and thermodynamics of black holes in de Sitter spaces,” Nuclear Physics B, vol. 628, no. 1-2, pp. 375–386, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  37. Y. Sekiwa, “Thermodynamics of de Sitter black holes: thermal cosmological constant,” Physical Review D, vol. 73, no. 8, Article ID 084009, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  38. M. Urano, A. Tomimatsu, and H. Saida, “The mechanical first law of black hole spacetimes with a cosmological constant and its application to the Schwarzschild-de SITter spacetime,” Classical and Quantum Gravity, vol. 26, no. 10, Article ID 105010, 14 pages, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  39. D. Kastor and J. Traschen, “Particle production and positive energy theorems for charged black holes in de Sitter,” Classical and Quantum Gravity, vol. 13, no. 10, p. 2753, 1996. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  40. L. C. Zhang, H. F. Li, and R. Zhao, “Thermodynamics of the Reissner-Nordström-de Sitter black hole,” Science China: Physics, Mechanics and Astronomy, vol. 54, no. 8, pp. 1384–1387, 2011. View at Publisher · View at Google Scholar · View at Scopus
  41. B. P. Dolan, D. Kastor, D. Kubizňák, R. B. Mann, and J. Traschen, “Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 87, no. 10, 14 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  42. Y. S. Myung, “Thermodynamics of the Schwarzschild-de Sitter black hole: thermal stability of the Nariai black hole,” Physical Review D: Particles, Fields, Gravitation, and Cosmology, vol. 77, no. 10, Article ID 104007, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  43. R. G. Cai, “Dark energy and de Sitter spacetime,” Physics, vol. 34, p. 555, 2005 (Chinese). View at Google Scholar
  44. S. Bhattacharya and A. Lahiri, “Mass function and particle creation in Schwarzschild-de Sitter spacetime,” The European Physical Journal C, vol. 73, no. 12, pp. 1–10, 2013. View at Publisher · View at Google Scholar · View at Scopus
  45. H.-H. Zhao, L.-C. Zhang, M.-S. Ma, and R. Zhao, “P-V criticality of higher dimensional charged topological dilaton de Sitter black holes,” Physical Review D, vol. 90, no. 6, Article ID 064018, 2014. View at Publisher · View at Google Scholar
  46. R. G. Cai, J. Y. Ji, and K. S. Soh, “Action and entropy of black holes in spacetimes with a cosmological constant,” Classical and Quantum Gravity, vol. 15, no. 9, pp. 2783–2793, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  47. G. W. Gibbons, H. Lü, D. N. Page, and C. N. Pope, “Rotating black holes in higher dimensions with a cosmological constant,” Physical Review Letters, vol. 93, no. 17, Article ID 171102, 2004. View at Publisher · View at Google Scholar · View at Scopus
  48. G. W. Gibbons, H. Lu, D. N. Page, and C. N. Pope, “The general Kerr-de Sitter metrics in all dimensions,” Journal of Geometry and Physics, vol. 53, no. 1, pp. 49–73, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  49. R.-G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Physical Review D, vol. 65, no. 8, 9 pages, 2002. View at Publisher · View at Google Scholar · View at MathSciNet
  50. R. Zhao, L.-C. Zhang, and H.-F. Li, “Hawking radiation of a Reissner-Nordström-de Sitter black hole,” General Relativity and Gravitation, vol. 42, no. 4, pp. 975–983, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  51. R. Zhao, L. Zhang, H. Li, and Y. Wu, “Hawking radiation of a high-dimensional rotating black hole,” The European Physical Journal C: Particles and Fields, vol. 65, no. 1-2, pp. 289–293, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  52. R. Zhao and L. C. Zhang, “A new explanation for statistical entropy of charged black hole,” Science China Physics, Mechanics and Astronomy, vol. 56, no. 9, pp. 1632–1635, 2013. View at Publisher · View at Google Scholar · View at Scopus
  53. R. Zhao, M. S. Ma, H. H. Zhao, and L. C. Zhang, “The critical phenomena and thermodynamics of the Reissner-Nordstrom-de Sitter black hole,” Advances in High Energy Physics, vol. 2014, Article ID 124854, 2014. View at Publisher · View at Google Scholar · View at Scopus