Abstract
Thermalons can mediate phase transitions between different vacua in higher curvature gravity, potentially changing the asymptotic structure of the spacetime. Treating the cosmological constant as a dynamical parameter, we study these phase transitions in the context of extended thermodynamic phase space. We find that in addition to the AdS to dS phase transitions previously studied, thermal AdS space can undergo a phase transition to an asymptotically flat black hole geometry. In the context of AdS to AdS transitions, we comment on the similarities and differences between thermalon transitions and the Hawking-Page transition.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.R. Coleman, The Fate of the False Vacuum. 1. Semiclassical Theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248] [INSPIRE].
S.R. Coleman and F. De Luccia, Gravitational Effects on and of Vacuum Decay, Phys. Rev. D 21 (1980) 3305 [INSPIRE].
J.D. Brown and C. Teitelboim, Dynamical Neutralization of the Cosmological Constant, Phys. Lett. B 195 (1987) 177 [INSPIRE].
J.D. Brown and C. Teitelboim, Neutralization of the Cosmological Constant by Membrane Creation, Nucl. Phys. B 297 (1988) 787 [INSPIRE].
S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-de Sitter Space, Commun. Math. Phys. 87 (1983) 577 [INSPIRE].
X.O. Camanho, J.D. Edelstein, G. Giribet and A. Gomberoff, Generalized phase transitions in Lovelock gravity, Phys. Rev. D 90 (2014) 064028 [arXiv:1311.6768] [INSPIRE].
X.O. Camanho, J.D. Edelstein, A. Gomberoff and J.A. Sierra-Garcia, On AdS to dS transitions in higher-curvature gravity, JHEP 10 (2015) 179 [arXiv:1504.04496] [INSPIRE].
S. Nojiri and S.D. Odintsov, The de Sitter/anti-de Sitter black holes phase transition?, gr-qc/0112066 [INSPIRE].
X.O. Camanho, J.D. Edelstein, G. Giribet and A. Gomberoff, A new type of phase transition in gravitational theories, Phys. Rev. D 86 (2012) 124048 [arXiv:1204.6737] [INSPIRE].
D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes, Class. Quant. Grav. 26 (2009) 195011 [arXiv:0904.2765] [INSPIRE].
B.P. Dolan, The cosmological constant and the black hole equation of state, Class. Quant. Grav. 28 (2011) 125020 [arXiv:1008.5023] [INSPIRE].
B.P. Dolan, Pressure and volume in the first law of black hole thermodynamics, Class. Quant. Grav. 28 (2011) 235017 [arXiv:1106.6260] [INSPIRE].
B.P. Dolan, Compressibility of rotating black holes, Phys. Rev. D 84 (2011) 127503 [arXiv:1109.0198] [INSPIRE].
B.P. Dolan, Where is the PdV term in the fist law of black hole thermodynamics?, arXiv:1209.1272 [INSPIRE].
M. Cvetič, G.W. Gibbons, D. Kubiznak and C.N. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume, Phys. Rev. D 84 (2011) 024037 [arXiv:1012.2888] [INSPIRE].
A. Larranaga and A. Cardenas, Geometric Thermodynamics of Schwarzschild-AdS black hole with a Cosmological Constant as State Variable, J. Korean Phys. Soc. 60 (2012) 987 [arXiv:1108.2205] [INSPIRE].
A. Larranaga and S. Mojica, Geometric Thermodynamics of Kerr-AdS black hole with a Cosmological Constant as State Variable, Abraham Zelmanov J. 5 (2012) 68 [arXiv:1204.3696] [INSPIRE].
D. Kubiznak and R.B. Mann, P-V criticality of charged AdS black holes, JHEP 07 (2012) 033 [arXiv:1205.0559] [INSPIRE].
S. Gunasekaran, R.B. Mann and D. Kubiznak, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization, JHEP 11 (2012) 110 [arXiv:1208.6251] [INSPIRE].
A. Belhaj, M. Chabab, H. El Moumni and M.B. Sedra, On Thermodynamics of AdS Black Holes in Arbitrary Dimensions, Chin. Phys. Lett. 29 (2012) 100401 [arXiv:1210.4617] [INSPIRE].
H. Lü, Y. Pang, C.N. Pope and J.F. Vazquez-Poritz, AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities, Phys. Rev. D 86 (2012) 044011 [arXiv:1204.1062] [INSPIRE].
A. Smailagic and E. Spallucci, Thermodynamical phases of a regular SAdS black hole, Int. J. Mod. Phys. D 22 (2013) 1350010 [arXiv:1212.5044] [INSPIRE].
S.H. Hendi and M.H. Vahidinia, Extended phase space thermodynamics and P-V criticality of black holes with a nonlinear source, Phys. Rev. D 88 (2013) 084045 [arXiv:1212.6128] [INSPIRE].
N. Altamirano, D. Kubiznak and R.B. Mann, Reentrant phase transitions in rotating anti-de Sitter black holes, Phys. Rev. D 88 (2013) 101502 [arXiv:1306.5756] [INSPIRE].
N. Altamirano, D. Kubizňák, R.B. Mann and Z. Sherkatghanad, Kerr-AdS analogue of triple point and solid/liquid/gas phase transition, Class. Quant. Grav. 31 (2014) 042001 [arXiv:1308.2672] [INSPIRE].
R.A. Hennigar, W.G. Brenna and R.B. Mann, P − v criticality in quasitopological gravity, JHEP 07 (2015) 077 [arXiv:1505.05517] [INSPIRE].
R.A. Hennigar, D. Kubizňák and R.B. Mann, Entropy Inequality Violations from Ultraspinning Black Holes, Phys. Rev. Lett. 115 (2015) 031101 [arXiv:1411.4309] [INSPIRE].
R.A. Hennigar and R.B. Mann, Reentrant phase transitions and van der Waals behaviour for hairy black holes, Entropy 17 (2015) 8056 [arXiv:1509.06798] [INSPIRE].
D. Kubiznak and R.B. Mann, Black hole chemistry, Can. J. Phys. 93 (2015) 999 [arXiv:1404.2126] [INSPIRE].
D. Lovelock, The Einstein tensor and its generalizations, J. Math. Phys. 12 (1971) 498 [INSPIRE].
X.O. Camanho, Lovelock gravity, black holes and holography, arXiv:1509.08129 [INSPIRE].
J. Crisostomo, R. Troncoso and J. Zanelli, Black hole scan, Phys. Rev. D 62 (2000) 084013 [hep-th/0003271] [INSPIRE].
B.P. Dolan, D. Kastor, D. Kubiznak, R.B. Mann and J. Traschen, Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes, Phys. Rev. D 87 (2013) 104017 [arXiv:1301.5926] [INSPIRE].
D. Kastor, S. Ray and J. Traschen, Smarr Formula and an Extended First Law for Lovelock Gravity, Class. Quant. Grav. 27 (2010) 235014 [arXiv:1005.5053] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1512.02611
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hennigar, R.A., Mann, R.B. & Mbarek, S. Thermalon mediated phase transitions in Gauss-Bonnet gravity. J. High Energ. Phys. 2016, 34 (2016). https://doi.org/10.1007/JHEP02(2016)034
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2016)034