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Advances in High Energy Physics
Volume 2016, Article ID 8086740, 6 pages
http://dx.doi.org/10.1155/2016/8086740
Research Article

Thermodynamic Product Relations for Generalized Regular Black Hole

Department of Physics, Vivekananda Satavarshiki Mahavidyalaya (Affiliated to Vidyasagar University), Manikpara, West Midnapore, West Bengal 721513, India

Received 14 April 2016; Accepted 3 July 2016

Academic Editor: Masoud S. Rad

Copyright © 2016 Parthapratim Pradhan. 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. M. Ansorg and J. Hennig, “Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory,” Physical Review Letters, vol. 102, no. 22, Article ID 221102, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  2. M. Visser, “Area products for stationary black hole horizons,” Physical Review D, vol. 88, Article ID 044014, 2013. View at Publisher · View at Google Scholar
  3. J. Hennig, “Geometric relations for rotating and charged AdS black holes,” Classical and Quantum Gravity, vol. 31, no. 13, Article ID 135005, 9 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  4. P. Pradhan, “Area (or entropy) product formula for a regular black hole,” General Relativity and Gravitation, vol. 48, no. 2, article 19, 11 pages, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  5. M. Cvetič, G. W. Gibbons, and C. N. Pope, “Universal area product formulas for rotating and charged black holes in four and higher dimensions,” Physical Review Letters, vol. 106, no. 12, Article ID 121301, 4 pages, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  6. A. Castro and M. J. Rodriguez, “Universal properties and the first law of black hole inner mechanics,” Physical Review D, vol. 86, no. 2, Article ID 024008, 5 pages, 2012. View at Publisher · View at Google Scholar
  7. S. Detournay, “Inner mechanics of three-dimensional black holes,” Physical Review Letters, vol. 109, no. 3, Article ID 031101, 5 pages, 2012. View at Publisher · View at Google Scholar
  8. D. N. Page and A. A. Shoom, “Universal area product for black holes: a heuristic argument,” Physical Review D, vol. 92, no. 4, Article ID 044039, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  9. P. Pradhan, “Black hole interior mass formula,” The European Physical Journal C, vol. 74, no. 5, article 2887, 2014. View at Publisher · View at Google Scholar
  10. P. Pradhan, “Thermodynamic product formula for Hořava-Lifshitz black hole,” Physics Letters B, vol. 747, pp. 64–67, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  11. E. Ayón-Beato and A. García, “Four-parametric regular black hole solution,” General Relativity and Gravitation, vol. 37, no. 4, pp. 635–641, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  12. N. Bretón, “Smarr's formula for black holes with non-linear electrodynamics,” General Relativity and Gravitation, vol. 37, no. 4, pp. 643–650, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. S. Bose and N. Dadhich, “Brown-York quasilocal energy, gravitational charge, and black hole horizons,” Physical Review D, vol. 60, no. 6, Article ID 064010, 7 pages, 1999. View at Publisher · View at Google Scholar · View at MathSciNet
  14. L. Balart, “Quasilocal energy, Komar charge and horizon for regular black holes,” Physics Letters B, vol. 687, no. 4-5, pp. 280–285, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  15. S. Ansoldi, “Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources,” https://arxiv.org/abs/0802.0330.
  16. M. S. Ma and R. Zhao, “Corrected form of the first law of thermodynamics for regular black holes,” Classical and Quantum Gravity, vol. 31, no. 24, Article ID 245014, 2014. View at Publisher · View at Google Scholar
  17. J. D. Bekenstein, “Black holes and entropy,” Physical Review D, vol. 7, pp. 2333–2346, 1973. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. 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 Zentralblatt MATH · View at MathSciNet
  19. E. Ayón-Beato and A. García, “Regular black hole in general relativity coupled to nonlinear electrodynamics,” Physical Review Letters, vol. 80, no. 23, pp. 5056–5059, 1998. View at Publisher · View at Google Scholar
  20. J. M. Bardeen, in Conference Proceedings of GR5, U.S.S.R, Tbilisi, Georgia, 1968.
  21. A. Komar, “Covariant conservation laws in general relativity,” Physical Review Letters, vol. 113, no. 3, pp. 934–936, 1959. View at Publisher · View at Google Scholar · View at MathSciNet