Built on

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D. Lovelock, “The Einstein Tensor and Its Generalizations,” Journal of Mathematical Physics
1971
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J. Creighton and R. B. Mann, “Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields,” Phys.Rev. D
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R. B. Mann, “Pair Production of Topological anti de Sitter Black Holes,” Class.Quant.Grav
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A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Charged AdS Black Holes and Catastrophic Holography,” Phys.Rev. D
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2015

P-V Criticality in Quasitopological Gravity

Hennigar, Robie A., Brenna, Wilson G., Mann, Robert B.

Understand

We investigate the thermodynamic behaviour of AdS quasitopological black hole solutions in the context of extended thermodynamic phase space, in which the cosmological constant induces a pressure with a conjugate volume.

We find that the third order exact quasitopological solution exhibits features consistent with the third order Lovelock solutions for positive quasitopological coupling, including multiple reentrant phase transitions and isolated critical points.
For negative coupling we find the first instances of both reentrant phase transitions and thermodynamic singularities in five dimensions, along with other modified thermodynamic behaviour compared to Einstein-AdS-Gauss Bonnet gravity.

Built on

C. Hudson, “The mutual solubility of nicotine in water,” Z. Phys. Chem
1904
Earlier work this paper cites.
D. Lovelock, “The Einstein Tensor and Its Generalizations,” Journal of Mathematical Physics
1971
Earlier work this paper cites.
J. Creighton and R. B. Mann, “Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields,” Phys.Rev. D
1995
Earlier work this paper cites.
R. B. Mann, “Pair Production of Topological anti de Sitter Black Holes,” Class.Quant.Grav
1997
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
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, “Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography,” Phys.Rev. D
1999
Earlier work this paper cites.
M. Cvetic and S. S. Gubser, “Thermodynamic Stability and Phases of General Spinning Branes,” JHEP
1999
Earlier work this paper cites.
M. Cvetic and S. S. Gubser, “Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories,” JHEP
1999
Earlier work this paper cites.
M. M. Caldarelli, G. Cognola, and D. Klemm, “Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories,” Class.Quant.Grav
2000
Earlier work this paper cites.
D. Kastor, S. Ray, and J. Traschen, “Enthalpy and the Mechanics of AdS Black Holes,” Class.Quant.Grav
Original
2009
Earlier work this paper cites.
M. Cvetic, G. W. Gibbons, D. Kubiznak, and C. N. Pope, “Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume,” Phys.Rev.D
Original
2010
Earlier work this paper cites.
R. C. Myers and B. Robinson, “Black Holes in Quasi-topological Gravity,” Journal of High Energy Physics
Original
2010
Earlier work this paper cites.