Built on

D. Lovelock, The Einstein tensor and its generalizations , J.Math.Phys. 12
1971
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phase transition in a lattice model of superconductivity , Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
S. Hawking and D. Page, Thermodynamics of Black Holes in anti-De Sitter Space , Commun.Math.Phys. 87
1983
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Asymptotically anti-De Sitter Spaces , Commun. Math. Phys. 98
1985
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories , Phys. Lett. B156
1985
Earlier work this paper cites.
R. M. Wald, Black hole entropy is the Noether charge , Phys. Rev. D48
1993
Earlier work this paper cites.
J. Creighton and R. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields , Phys.Rev. D52
1995
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories , Class.Quant.Grav. 17
2000
Earlier work this paper cites.
P. B. Weichman, A. W. Harter and D. L. Goodstein, Criticality and superfluidity in liquid He 4 {}^{4}\mathrm{He} under nonequilibrium conditions , Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes , Class.Quant.Grav. 26
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers and A. Sinha, Beyond eta/s = 1/4 pi , JHEP 03
Original
2009
Earlier work this paper cites.
D. M. Hofman, Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT , Nucl. Phys. B823
Original
2009
Earlier work this paper cites.
D. Kastor, S. Ray and J. Traschen, Smarr Formula and an Extended First Law for Lovelock Gravity , Class.Quant.Grav. 27
Original
2010
Earlier work this paper cites.
J. Oliva and S. Ray, A new cubic theory of gravity in five dimensions: Black hole, Birkhoff’s theorem and C-function , Class. Quant. Grav. 27
Original
2010
Earlier work this paper cites.
R. C. Myers and B. Robinson, Black Holes in Quasi-topological Gravity , JHEP 1008
Original
2010
Earlier work this paper cites.
M. Cvetic, G. Gibbons, D. Kubiznak and C. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume , Phys.Rev. D84
Original
2011
Earlier work this paper cites.
Academic Press, Boston, third edition ed., 2011
R. Pathria and P. D. Beale, 12 - phase transitions: Criticality, universality, and scaling , in Statistical Mechanics (Third Edition) (R. Pathria and P. D. Beale, eds.), pp. 401 – 469 · 2011
Earlier work this paper cites.

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2017

Hairy black holes in cubic quasi-topological gravity

Dykaar, Hannah, Hennigar, Robie A., Mann, Robert B.

Understand

We construct a class of five dimensional black hole solutions to cubic quasi-topological gravity with conformal scalar hair and study their thermodynamics.

We find these black holes provide the second example of black hole $\lambda$-lines: a line of second order (continuous) phase transitions, akin to the fluid/superfluid transition of $^4$He.
Examples of isolated critical points are found for spherical black holes, marking the first in the literature to date.
We also find various novel and interesting phase structures, including an isolated critical point occurring in conjunction with a double reentrant phase transition.

Built on

D. Lovelock, The Einstein tensor and its generalizations , J.Math.Phys. 12
1971
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phase transition in a lattice model of superconductivity , Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
S. Hawking and D. Page, Thermodynamics of Black Holes in anti-De Sitter Space , Commun.Math.Phys. 87
1983
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Asymptotically anti-De Sitter Spaces , Commun. Math. Phys. 98
1985
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories , Phys. Lett. B156
1985
Earlier work this paper cites.
R. M. Wald, Black hole entropy is the Noether charge , Phys. Rev. D48
1993
Earlier work this paper cites.
J. Creighton and R. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields , Phys.Rev. D52
1995
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories , Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories , Class.Quant.Grav. 17
2000
Earlier work this paper cites.
P. B. Weichman, A. W. Harter and D. L. Goodstein, Criticality and superfluidity in liquid He 4 {}^{4}\mathrm{He} under nonequilibrium conditions , Rev. Mod. Phys. 73
2001
Earlier work this paper cites.
D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes , Class.Quant.Grav. 26
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers and A. Sinha, Beyond eta/s = 1/4 pi , JHEP 03
Original
2009
Earlier work this paper cites.
D. M. Hofman, Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT , Nucl. Phys. B823
Original
2009
Earlier work this paper cites.
D. Kastor, S. Ray and J. Traschen, Smarr Formula and an Extended First Law for Lovelock Gravity , Class.Quant.Grav. 27
Original
2010
Earlier work this paper cites.
J. Oliva and S. Ray, A new cubic theory of gravity in five dimensions: Black hole, Birkhoff’s theorem and C-function , Class. Quant. Grav. 27
Original
2010
Earlier work this paper cites.
R. C. Myers and B. Robinson, Black Holes in Quasi-topological Gravity , JHEP 1008
Original
2010
Earlier work this paper cites.
M. Cvetic, G. Gibbons, D. Kubiznak and C. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume , Phys.Rev. D84
Original
2011
Earlier work this paper cites.
Academic Press, Boston, third edition ed., 2011
R. Pathria and P. D. Beale, 12 - phase transitions: Criticality, universality, and scaling , in Statistical Mechanics (Third Edition) (R. Pathria and P. D. Beale, eds.), pp. 401 – 469 · 2011
Earlier work this paper cites.