Thermodynamic and classical instability of AdS black holes in fourth-order gravity

Myung, Yun Soo; Moon, Taeyoon

doi:10.1007/jhep04(2014)058

Cited by 14 publications

(10 citation statements)

References 64 publications

(93 reference statements)

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“…Collecting the above conservation and/or vanishing properties of each term in the right-hand side in Eq. (14), one can see that the current expression J µ ADT (K ; δ 2 Ψ, δ 1 Ψ) is conserved at the "on-shell" level.…”

Section: Review: Quasi-local Formalism For Chargesmentioning

confidence: 91%

“…In this section, we review the quasi-local ADT formalism based on the identically conserved current and summarize some properties of the generalized ADT current [9,10,11,12,13,14], which relies on EOM or Euler-Lagrange expression. To summarize our conventions and present results succinctly, let us denote the metric and matter fields collectively as Ψ = (g, ψ).…”

Section: Review: Quasi-local Formalism For Chargesmentioning

confidence: 99%

“…As can be inferred from Eq. (14) and the property of the ADT current, our modified canonical energy can also be written, when the second order variation of field Ψ satisfies second order EOM, as…”

Section: Review: Quasi-local Formalism For Chargesmentioning

confidence: 99%

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Canonical energy and hairy AdS black holes

Hyun

Park

2016

Phys. Rev. D

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We propose the modified version of the canonical energy which was introduced originally by Hollands and Wald. Our construction depends only on the Euler-Lagrange expression of the system and thus is independent of the ambiguity in the Lagrangian. After some comments on our construction, we briefly mention on the relevance of our construction to the boundary information metric in the context of the AdS/CFT correspondence. We also study the stability of three-dimensional hairy extremal black holes by using our construction.

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Section: Review: Quasi-local Formalism For Chargesmentioning

confidence: 91%

Section: Review: Quasi-local Formalism For Chargesmentioning

confidence: 99%

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Canonical energy and hairy AdS black holes

Hyun

Park

2016

Phys. Rev. D

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“…In recent years the thermodynamic aspects of AdS space-times are considered in several references like [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]. The thermodynamics of the BHs with cosmological constant Λ as a thermodynamical variable has been studied in the references [26,27,28].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of d-dimensional charged AdS (Anti-de sitter) black holes: Hamiltonian approach and Clapeyron equation

Haldar

Biswas

2019

Mod. Phys. Lett. A

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The study of thermodynamics in the view of the Hamiltonian approach is a newest tool to analyze the thermodynamic properties of the black holes. In this letter, we investigate the thermodynamics of d-dimensional (d > 3) asymptotically AntideSitter black holes. A thermodynamic representation based on symplectic geometry is introduced in this letter. We extend the thermodynamics of d−dimensional charged AntideSitter black holes in the views of a Hamiltonian approach. Firstly, we study the thermodynamics in reduced phase space and correlate with the Schwarzschild solution. Then we enhance it in the extended phase space. In an extended phase space the thermodynamic equations of state are stated as constraints. We apply the canonical transformation to analyze the thermodynamics of said type of black holes. We plot P -v diagrams for different dimensions d taking the temperatures T < T c , T = T c and T > T c and analyze the natures of the graphs and the dependences on d. In theses diagrams, we point out the regions of coexistence. We also examine the phase transition by applying "Maxwell's equal area law" of the said black holes. Here we find the regions of coexistence of two phases which are also depicted graphically. Finally, we derive the "Clapeyron equation" and investigate the latent heat of isothermal phase transition.

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“…We consider thermodynamic aspects of asymptotically AdS spacetimes, a theme that has received considerable attention in recent years [4][5][6][7][8][9][10][11][12][13][14][15][16]. More specifically, we focus on the D-dimensional Schwarzschild-anti de Sitter (SAdS) black hole.…”

Section: Introductionmentioning

confidence: 99%

A Hamiltonian approach for the Thermodynamics of AdS black holes

2017

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In this work we study the Thermodynamics of D-dimensional Schwarzschild-anti de Sitter (SAdS) black holes. The minimal Thermodynamics of the SAdS spacetime is briefly discussed, highlighting some of its strong points and shortcomings. The minimal SAdS Thermodynamics is extended within a Hamiltonian approach, by means of the introduction of an additional degree of freedom. We demonstrate that the cosmological constant can be introduced in the thermodynamic description of the SAdS black hole with a canonical transformation of the Schwarzschild problem, closely related to the introduction of an anti-de Sitter thermodynamic volume. The treatment presented is consistent, in the sense that it is compatible with the introduction of new thermodynamic potentials, and respects the laws of black hole Thermodynamics. By demanding homogeneity of the thermodynamic variables, we are able to construct a new equation of state that completely characterizes the Thermodynamics of SAdS black holes. The treatment naturally generates phenomenological constants that can be associated with different boundary conditions in underlying microscopic theories. A whole new set of phenomena can be expected from the proposed generalization of SAdS Thermodynamics.Comment: 13 pages, published versio

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Thermodynamic and classical instability of AdS black holes in fourth-order gravity

Cited by 14 publications

References 64 publications

Canonical energy and hairy AdS black holes

Canonical energy and hairy AdS black holes

Thermodynamics of d-dimensional charged AdS (Anti-de sitter) black holes: Hamiltonian approach and Clapeyron equation

A Hamiltonian approach for the Thermodynamics of AdS black holes

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