Multiple reentrant phase transitions and triple points in Lovelock thermodynamics

Frassino, Antonia Micol; Kubizňák, David; Mann, Robert B.; Simovic, Fil

doi:10.1007/jhep09(2014)080

Cited by 317 publications

(345 citation statements)

References 135 publications

(289 reference statements)

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“…This exactly coincides with the conventional first law of thermodynamics (not the first law for black hole mechanics but that in conventional thermodynamics, for some related works in black hole thermodynamics see [60][61][62][63]), provided: (i) we identify the quantity S to be the entropy of the null surface in Lanczos-Lovelock gravity and this exactly matches with existing expression for entropy in Lanczos-Lovelock gravity [47,64,65].…”

Section: Equivalence Of Gravitational Field Equation Near An Arbitrarsupporting

confidence: 80%

Lanczos-Lovelock Gravity from a Thermodynamic Perspective

Chakraborty¹

2017

Springer Theses

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The deep connection between gravitational dynamics and horizon thermodynamics leads to several intriguing features both in general relativity and in Lanczos-Lovelock theories of gravity. Recently in arXiv:1312.3253 several additional results strengthening the above connection have been established within the framework of general relativity. In this work we provide a generalization of the above setup to Lanczos-Lovelock gravity as well. To our expectation it turns out that most of the results obtained in the context of general relativity generalize to Lanczos-Lovelock gravity in a straightforward but non-trivial manner. First, we provide an alternative and more general derivation of the connection between Noether charge for a specific time evolution vector field and gravitational heat density of the boundary surface. This will lead to holographic equipartition for static spacetimes in Lanczos-Lovelock gravity as well. Taking a cue from this, we have introduced naturally defined four-momentum current associated with gravity and matter energy momentum tensor for both Lanczos-Lovelock Lagrangian and its quadratic part. Then, we consider the concepts of Noether charge for null boundaries in Lanczos-Lovelock gravity by providing a direct generalization of previous results derived in the context of general relativity.Another very interesting feature for gravity is that gravitational field equations for arbitrary static and spherically symmetric spacetimes with horizon can be written as a thermodynamic identity in the near horizon limit. This result holds in both general relativity and in Lanczos-Lovelock gravity as well. In a previous work [arXiv:1505.05297] we have shown that, for an arbitrary spacetime, the gravitational field equations near any null surface generically leads to a thermodynamic identity. In this work, we have also generalized this result to Lanczos-Lovelock gravity by showing that gravitational field equations for Lanczos-Lovelock gravity near an arbitrary null surface can be written as a thermodynamic identity. Our general expressions under appropriate limits reproduce previously derived results for both the static and spherically symmetric spacetimes in Lanczos-Lovelock gravity. Also by taking appropriate limit to general relativity we can reproduce the results presented in arXiv:1312.3253 and arXiv:1505.05297.

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Section: Equivalence Of Gravitational Field Equation Near An Arbitrarsupporting

confidence: 80%

Lanczos-Lovelock Gravity from a Thermodynamic Perspective

Chakraborty¹

2017

Springer Theses

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“…The phase diagram that corresponds to the free energy, F , seems to entail the occurrence of so-called reentrant phase transitions, 2 a familiar phenomenon in chemical physics that was earlier observed in the context of black hole thermodynamics [33,34]. There is, however, an important subtlety hidden in the fact that figure 2 is not comparing two different stable thermodynamical configurations.…”

Section: Jhep10(2015)179mentioning

confidence: 97%

On AdS to dS transitions in higher-curvature gravity

Camanho

Edelstein

Gomberoff

et al. 2015

J. High Energ. Phys.

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Abstract:We study the possible existence of gravitational phase transitions from AdS to dS geometries in the context of higher-curvature gravities. We use Lanczos-Gauss-Bonnet (LGB) theory with a positive cosmological constant as a toy model. This theory has two maximally symmetric vacua with positive (dS) and negative (AdS) constant curvature. We show that a phase transition from the AdS vacuum to a dS black hole geometry takes place when the temperature reaches a critical value. The transition is produced by nucleation of bubbles of the new phase that expand afterwards. We claim that this phenomenon is not particular to the model under study, that contains Boulware-Deser instabilities, but shall also be part of generic gravitational theories with higher-curvature terms, where these problems are absent. A salient feature that emerges when a positive cosmological constant is considered is that the temperature in which these bubbles may form is bounded from above. Thermodynamically this property is related to quite an uncommon feature that this system exhibits, namely, the existence of a zeroth-order phase transition.

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“…(23). This special point is usually called " thermodynamic singularity" [34]. It is characterized by…”

Section: P-v Criticality Of Topological Hl Black Holesmentioning

confidence: 99%

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Zhao

Liu

2017

Class. Quantum Grav.

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On the basis of horizon thermodynamics, we study the thermodynamic stability and P − V criticality of topological black holes constructed in Hořava-Lifshitz (HL) gravity without the detailedbalance condition (with general ǫ). In the framework of horizon thermodynamics, we do not need the concrete black hole solution (the metric function) and the concrete matter fields. It is shown that the HL black hole for k = 0 is always thermodynamically stable. For k = 1, the thermodynamic behaviors and P − V criticality of the HL black hole are similar to those of RN-AdS black hole for some ǫ. For k = −1, the temperature is classified into six types by their different features. Among them, we mainly focus on the type with a triply degenerate thermodynamic state. It is also shown that there is a " thermodynamic singularity" for the k = −1 HL black hole, where the temperature and Gibbs free energy both diverge apart from a special pressure Ps.

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Multiple reentrant phase transitions and triple points in Lovelock thermodynamics

Cited by 317 publications

References 135 publications

Lanczos-Lovelock Gravity from a Thermodynamic Perspective

Lanczos-Lovelock Gravity from a Thermodynamic Perspective

On AdS to dS transitions in higher-curvature gravity

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

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