Iranian Journal of Physics Research

Criticality of thermodynamic curvatures for D-> 4 consistent Einstein-Gauss-Bonnet black holes

Document Type : Original Article

Authors

Seyed Ali Hosseini Mansoori
Morteza Rafiee

Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

https://doi.org/10.47176/ijpr.22.1.61265
Abstract
In this paper, using Arnowitt-Deser-Misner (ADM) decomposition formalism, we first obtain a neutral black hole solution for consistent $D\to 4$ Gauss-Bonnet gravity. Then, we study its thermodynamic properties near the critical point by employing new formalism of thermodynamic geometry (NTG). More precisely, critical exponents of the number density difference $\Delta n$, the isothermal compressibility ${{\kappa }_{T}}{{P}_{c}}$, the normalized intrinsic and the normalized extrinsic ${{K}_{N}}$ curvatures are calculated near the critical point for the small/large black holes phase. Our findings show that the critical amplitude of the normalized thermodynamic curvatures are independent of the Gauss-Bonnet coupling values that indicates their universal feature.

Keywords

Gauss-Bonnet black hole
ADM decomposition
intrinsic curvatures and extrinsic curvature
  1. F Weinhold, Chem. Phys. 63 (1975) 2479.

  2. G Ruppeiner, Mod. Phys. 67 (1995) 605, [Erratum-ibid. 68 (1996) 313.].

  3. S W Wei and Y-X Liu, Rev. Lett. 115 (2015) 111302, Erratum: Phys. Rev. Lett. 116 (2016) 169903.

  4. G Ruppeiner, Rev. A 20 (1979) 1608.

  5. J Aman, I Bengtsson, and N Pidokrajt, Rel. Grav. 35 (2003) 1733.

  6. J Aman and N Pidokrajt, Rev. D 73 (2006) 024017.

  7. B Mirza and M Zamani-Nasab JHEP 0706 (2007) 059.

  8. M Kord Zangeneh, et al., Phys. J. C 77 (2017) 423.

  9. T Sarkar, G Sengupta, and B Nath Tiwari JHEP 0611 (2006) 015.

  10. S A H Mansoori and B Mirza, Phys. J. C 74 (2014) 2681.

  11. S A H Mansoori, B Mirza, and M Fazel, JHEP 1504 (2015) 115.

  12. S A Hosseini Mansoori and B Mirza, Lett. B 799 (2019) 135040.

  13. S W Wei, Y X Liu, and R B Mann, Rev. Lett. 123 (2019) 071103.

  14. [14] S W Wei, Y X Liu, and R B Mann, Rev. D 100 (2019) 124033.

  15. S A H Mansoori, M Rafiee, and S –W Wei, Rev. D. 102 (2020) 124066.

  16. A Dehyadegari, A Sheykhi, and S-W Wei, Rev. D 102 (2020) 104013.

  17. S A H Mansoori, B Mirza, and E Sharifian, Lett. B 759 (2016) 298.

  18. M Zhang, X Y Wang, and W B Liu, Phys. Lett. B 783 (2018) 169.

  19. S -W. Wei and Y-X. Liu, Rev. D 87 (2013) 044014.

  20. R -G. Cai, L -M. Cao, L Li, and R -Q. Yang, JHEP 1309 (2013) 005.

  21. S -W. Wei and Y -X. Liu, Rev. D 90 (2014) 044057.

  22. D Lovelock, Math. Phys. 13 (1972) 874.

  23. D Glavan and C Lin, Rev. Lett. 124 (2020) 081301.

  24. M Gurses, T C Sisman, and B Tekin, Phys. J. C 80 (2020) 647.

  25. R A Hennigar, et al., JHEP07 (2020) 027.

  26. H Lu and Y Pang, Lett. B 809 (2020) 135717.

  27. P G Fernandes, P Carrilho, T Clifton, and D J Mulryne, Rev. D 102 (2020) 024025.

  28. R B Mann and S Ross, Quant. Grav. 10 (1993) 1405.

  29. G W Horndeski, Int J Theor. Phys. 10 (1974) 363.

  30. K Aoki, M A Gorji, and S Mukohyama, Lett. B 810 (2020) 135843.

  31. S A Hosseini Mansoori, Dark Univ. 31 (2021) 100776.

  32. H Quevedo, Rel. Grav. 40 (2008) 971.

  33. S H Hendi, et al., Phys. J. C 75 (2015) 507.

  34. S H Hendi, et al., Rev. D 92 (2015) 064028.

  35. S H Hendi, S Panahiyan, and M Momennia, Int. J. Mod. Phys. D 25 (2016) 1650063.

  36. D Kubiznak and R B Mann, JHEP 1207 (2012) 033.

  37. D C Johnston, "Advances in Thermodynamics of the van der Waals Fluid", Morgan & Claypool Publishers (2014)

  38. A Dehyadegari, et al., Lett. B 791 (2019) 30.

  39. S-W Wei and Y-X. Liu, Rev. D 101 (2020) 104018.

  40. J M Maldacena, J.Theor.Phys. 38 (1999) 1113 .

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