Holographic thermodynamics of rotating black holes

Gong, Ting-Feng; Jiang, Jie; Zhang, Ming

doi:10.1007/jhep06(2023)105

Cited by 13 publications

(3 citation statements)

References 45 publications

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“…It is important to know that positive mass indicates stable BH, whereas negative mass indicates towards the instability of the BH. There are several approaches to calculating the mass of a black hole like the conformal approach [52][53][54], by using the first law of thermodynamics [55,56]. Here, we calculate the geometric mass by setting f (r) = 0 [57,58].…”

Section: Physical Existence Of the Rindler-schwarzschild Black Holementioning

confidence: 99%

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Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Ditta,

Tiecheng,

Ali

et al. 2024

Commun. Theor. Phys.

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In this study, we investigate the thermodynamic characteristics of the Rindler-Schwarzschild black hole solution. Our analysis encompasses the examination of energy emission, Gibbs free energy, and thermal fluctuations. We calculate various quantities such as the Hawking temperature, geometric mass, and heat capacity to assess the local and global thermodynamic stability. The temperature of the black hole is determined using the first law of thermodynamics, while the energy emission rate is evaluated as well. By computing the Gibbs free energy, we explore the phase transition behavior exhibited by Rindler-Schwarzschild black hole, specifically examining the swallowing tails. Moreover, we derive the corrected entropy to investigate the influence of thermal fluctuations on small and large black holes. Notably, we compare the impact of correction terms on the thermodynamic system by comparing the results obtained for large black holes and small black holes.

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Section: Physical Existence Of the Rindler-schwarzschild Black Holementioning

confidence: 99%

“…In the coming discussions, we calculate the other thermodynamic properties of BHs using this corrected entropy and compare the results by setting γ = 0 for no correction and γ = 1 for correction terms. Now, we determine the thermodynamic temperature T by using the first law of thermodynamics[55,72]:…”

mentioning

confidence: 99%

Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Ditta,

Tiecheng,

Ali

et al. 2024

Commun. Theor. Phys.

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“…The holographic interpretation of charged AdS black holes is intriguing in this new paradigm where Newton's constant is the dynamics parameter. Central charge criticality studies for non-linear electromagnetic black holes [29,30], Gauss-Bonnet black holes [31,32], and other types of black hole studies [33,34] have all shown that this transition is determined by the degrees of freedom of its dual field theory in the large N limit. As a consequence of the G N variation, the first law (1.1) can be reformulated in the following manner:…”

Section: Introductionmentioning

confidence: 99%

Bulk-boundary thermodynamics of charged black holes in higher-derivative theory

Punia

2024

Eur. Phys. J. C

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The connection between bulk and boundary thermodynamics in Einstein–Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher-derivative gravity coupled to a U(1) gauge field, we examine the resemblance of the first law of thermodynamics between bulk and boundary, followed by an extended phase space description on both sides. Higher-derivative terms related to different powers of the string theory parameter $$\alpha '$$ α ′ emerged from a consistent truncation in the bulk supergravity action. We demonstrate that one must include the fluctuation of $$\alpha '$$ α ′ in the bulk thermodynamics as a bookkeeping tool to match the bulk first law and Smarr relation with the boundary side. Consequently, the Euler relation and the boundary first law are altered by adding two central charges $$({\texttt{a}}, {\texttt{c}}).$$ ( a , c ) . To support our general conclusion, we consider the black hole in Gauss–Bonnet gravity and the general four-derivative theory. Finally, we examine the bulk and boundary aspects of the extended phase space description for higher-derivative-corrected black holes.

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Holographic CFT phase transitions and criticality for rotating AdS black holes

Ahmed,

Cong,

Kubizňák

et al. 2023

J. High Energ. Phys.

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Employing the novel exact dictionary between the laws of extended black hole thermodynamics and the laws of the dual CFT, we study the extended thermodynamics for CFT states that are dual to neutral singly-spinning asymptotically AdS black holes in d bulk spacetime dimensions. On the field theory side we include two independent pairs of thermodynamic conjugate variables: the central charge-chemical potential term and the pressure-volume term. In this setting we uncover various phase transitions and critical behaviour in the CFT, focusing on three different thermodynamic ensembles. Namely, for fixed angular momentum and central charge, we show there is a Van der Waals-like criticality for d = 4, 5 and reentrant phase transitions for d ≥ 6. At fixed angular velocity and central charge, there is a first-order (de)confinement phase transition in all dimensions d ≥ 3. Finally, at fixed angular momentum and chemical potential we find a plethora of zero-order phase transitions and unstable phases in both d = 4 and d = 6.

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Holographic thermodynamics of rotating black holes

Cited by 13 publications

References 45 publications

Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Thermal analysis of the Rindler–Schwarzschild black hole via corrected entropy

Bulk-boundary thermodynamics of charged black holes in higher-derivative theory

Holographic CFT phase transitions and criticality for rotating AdS black holes

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