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Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole · Around

2020

Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole

Mansoori, Seyed Ali Hosseini

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In this paper, the new formalism of thermodynamic geometry proposed in [1] is employed in investigating phase transition points and the critical behavior of a Gauss Bonnet-AdS black hole in four dimensional spacetime.

In this regard, extrinsic and intrinsic curvatures of a certain kind of hypersurface immersed in the thermodynamic manifold contain information about stability/instability of heat capacities.
We, therefore, calculate the intrinsic curvature of the $Q$-zero hypersurface for a four-dimensional neutral Gauss Bonnet black hole case in the extended phase space.
Interestingly, intrinsic curvature can be positive for small black holes at low temperature, which indicates a repulsive interaction among black hole microstructures.

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S. A. Hosseini Mansoori and B. Mirza, “Geometrothermodynamics as a singular conformal thermodynamic geometry,” Phys. Lett. B 799
Original
1905
Earlier work this paper cites.
D. Glavan and C. Lin, “Einstein-Gauss-Bonnet gravity in 4-dimensional space-time,” Phys. Rev. Lett. 124
Original
1905
Earlier work this paper cites.
S. W. Wei, Y. X. Liu and R. B. Mann, “Repulsive Interactions and Universal Properties of Charged Anti?de Sitter Black Hole Microstructures,” Phys. Rev. Lett. 123
Original
1906
Earlier work this paper cites.
S. W. Wei, Y. X. Liu and R. B. Mann, “Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
Y. Z. Du, R. Zhao and L. C. Zhang, “Phase Transition of the Horava-Lifshitz AdS black holes,” arXiv:1909.09968 [hep-th]
Original
1909
Earlier work this paper cites.
A. Ghosh and C. Bhamidipati, “Contact Geometry and Thermodynamics of Black Holes in AdS Spacetimes,” Phys. Rev. D 100
Original
1909
Earlier work this paper cites.
S. W. Wei and Y. X. Liu, “Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole,” Phys. Lett. B 803
Original
1910
Earlier work this paper cites.
Z. M. Xu, B. Wu and W. L. Yang, “The fine micro-thermal structures for the Reissner-Nordström black hole,” arXiv:1910.03378 [gr-qc]
Original
1910
Earlier work this paper cites.
P. Wang, H. Wu and H. Yang, “Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity,” Eur. Phys. J. C 80
Original
1910
Earlier work this paper cites.
A. Ghosh and C. Bhamidipati, “Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes,” Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
X. Y. Guo, H. F. Li, L. C. Zhang and R. Zhao, “Continuous Phase Transition and Microstructure of Charged AdS Black Hole with Quintessence,” Eur. Phys. J. C 80
Original
1911
Earlier work this paper cites.
G.W.Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int J Theor Phys 10, 363–384 (1974)
1974
Earlier work this paper cites.
F. Weinhold, “Metric geometry of equilibrium thermodynamics,” J. Chem. Phys. 63
1975
Earlier work this paper cites.
G. Ruppeiner, “Thermodynamics: A Riemannian geometric model,” Phys. Rev.A 20
1979
Earlier work this paper cites.
R. B. Mann and S. Ross, “The D —> 2 limit of general relativity,” Class. Quant. Grav. 10
1993
Earlier work this paper cites.
G. Ruppeiner, “Riemannian geometry in thermodynamic fluctuation theory,” Rev. Mod. Phys. 67
1996
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Charged AdS black holes and catastrophic holography,” Phys. Rev. D 60
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, “Holography, thermodynamics and fluctuations of charged AdS black holes,” Phys. Rev. D 60
1999
Earlier work this paper cites.
H. Oshima, T. Obata, and H. Hara, “Riemann scalar curvature of ideal quantum gases obeying Gentile’s statistics,” J. Phys. A: Math. Gen. 32
1999
Earlier work this paper cites.
R. G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Earlier work this paper cites.
S. W. Wei and Y. X. Liu, “New insights into thermodynamics and microstructure of AdS black holes,” Sci. Bull. 65
Original
2003
Earlier work this paper cites.
J. Aman, I. Bengtsson, and N. Pidokrajt, “Geometry of black hole thermodynamics,” Gen. Rel. Grav. 35
2003
Earlier work this paper cites.
H. Lu and Y. Pang, “Horndeski Gravity as D → 4 D\rightarrow 4 Limit of Gauss-Bonnet,” [arXiv:2003.11552 [gr-qc]]
Original
2003
Earlier work this paper cites.
R. A. Konoplya and A. F. Zinhailo, “Quasinormal modes, stability and shadows of a black hole in the novel 4D Einstein-Gauss-Bonnet gravity,” arXiv:2003.01188 [gr-qc]
Original
2003
Earlier work this paper cites.
M. Guo and P. Li, “The innermost stable circular orbit and shadow in the novel 4 D 4D Einstein-Gauss-Bonnet gravity,” [arXiv:2003.02523 [gr-qc]]
Original
2003
Earlier work this paper cites.
P. G. Fernandes, “Charged Black Holes in AdS Spaces in 4 D 4D Einstein Gauss-Bonnet Gravity,” Phys. Lett. B 805
Original
2003
Earlier work this paper cites.
S. W. Wei and Y. X. Liu, “Testing the nature of Gauss-Bonnet gravity by four-dimensional rotating black hole shadow,” arXiv:2003.07769 [gr-qc]
Original
2003
Earlier work this paper cites.

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