Geometry of AdS black hole thermodynamics in extended phase space

Bairagya, Joy Das; Pal, Kunal; Pal, Kuntal; Sarkar, Tapobrata

doi:10.1016/j.physletb.2021.136424

Cited by 7 publications

(7 citation statements)

References 12 publications

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“…2 and 3 . By vanishing , it reduces to the RN-AdS BH [5], and by removing both parameters , , it is the Schwarzschild-AdS BH [2]. Now, we employ the corrected entropy and Hawking temperature to study the thermodynamic equation of state.…”

Section: Euler-heisenberg-ads Bhmentioning

confidence: 99%

“…After the breakthrough of Hawking and Page [2], interest in BH thermodynamics, for example, phase transitions, began to grow. Similarities exist between the phase changes of van der Waals fluids and charged Reissner-Nordstrom (RN) BHs.…”

Section: Introductionmentioning

confidence: 99%

“…, it becomes an AdS-Schwarzschild BH [2]. Figure 1 provides an interpretation of the horizon ra- dius with a variation in three parameters.…”

mentioning

confidence: 99%

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Thermodynamics under the impact of thermal fluctuations and quasi-normal modes of Euler-Heisenberg AdS BH in the framework of NLED

Ali,

Abbas

2023

Chinese Phys. C

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We study the impact of thermal fluctuations on the thermodynamics, quasi-normal modes, and phase transitions of an anti-de Sitter Euler-Heisenberg black hole (BH) with a nonlinear electrodynamic field. An anti-de Sitter Euler-Heisenberg BH with a nonlinear electrodynamic field is composed of four parameters: the mass, electric charge, cosmological constant, and Euler-Heisenberg parameter. We calculate thermodynamic variables such as Hawking temperature, entropy, volume, and specific heat, which comply with the first law of thermodynamics. First, we use this BH to determine the thermodynamics and thermal fluctuations with the Euler-Heisenberg parameter to distinguish their effect on uncorrected and corrected thermodynamical quantities. We derive the expression for corrected entropy to study the impact of thermal fluctuation with simple logarithmic corrections on unmodified thermodynamical potentials, including Helmholtz energy, pressure, Gibbs free energy, and enthalpy. The Euler-Heisenberg parameter improves BH stability at large radii. Second, we analyze the local stability of the proposed BH, and the phase shifts of the BH are also investigated using temperature and specific heat. When there is a decrease in charge and an increase in and α, the temperature shifts from an unstable region to a stable one. Similarly, increases in local stability are observed with each of these parameters. Third, we use null geodesics to deal with the effects of nonlinear electrodynamics on the quasi-normal modes of the Euler-Heisenberg anti-de Sitter BH. The null geodesics provide the angular velocity and Lyapunov exponent of the photon sphere, which are the same as the real and imaginary parts of the quasi-normal modes in the eikonal limit.

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Section: Euler-heisenberg-ads Bhmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermodynamics under the impact of thermal fluctuations and quasi-normal modes of Euler-Heisenberg AdS BH in the framework of NLED

Ali,

Abbas

2023

Chinese Phys. C

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“…This holds for all spherically symmetric black holes including charged black holes which saturate the reverse isoperimetric inequality. Following [77,78] (see also [43,79]), a possible resolution to this situation is as follows. We may consider spherically symmetric black holes to be limiting cases of their non-spherically symmetric counterparts.…”

Section: Appendix B Spherically Symmetric Black Holesmentioning

confidence: 99%

Novel logarithmic corrections to black hole entropy

Ghosh¹,

Mukherji²,

Bhamidipati³

2022

Class. Quantum Grav.

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For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti de Sitter spacetime, the effect of thermal fluctuations on the entropy is well studied. The aim of this work is to compute novel logarithmic corrections to black hole entropy coming from simultaneous fluctuations in energy and volume. We work in the isothermal-isobaric ensemble and first obtain a general form of corrections to entropy which are valid for any thermodynamic system. Applying the formalism to Kerr black holes in AdS reveals that entropy gets corrected as: \(\mathcal{S} = S_0 - k \ln S_0 + \cdots\) where \(S_0\) is given by the Bekenstein-Hawking formula and \(k = - 1\). The same leading coefficient is also obtained in the canonical ensemble, i.e. by considering energy fluctuations alone. This coefficient is found to be unaltered in the slowly rotating and high temperature limits.

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“…Thermodynamic geometry of well-known black holes such as Kerr, Kerr-Newman, Reissner-Nordstrom, BTZ, and so on has been investigated [18][19][20][21][22][23][24]. Also, the thermodynamic geometry of some black holes in extended thermodynamic phase space has been considered [25][26][27][28][29]. It has been shown that the cosmological constant should be included to the fluctuating thermodynamics parameters to obtain a consistent corresponding Smarr relation for some black holes [30,31].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry and complexity of black holes in theories with broken translational invariance

Babaei-Aghbolagh,

Mohammadzadeh,

Yekta

et al. 2022

Preprint

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The relationship between thermodynamics and the Lloyd bound on the holographic complexity for a black hole has been of interest. We consider D dimensional anti-de Sitter black holes with hyperbolic geometry as well as black holes with momentum relaxation that have a minimum for temperature and mass. We show that the singular points of the thermodynamic curvature of the black holes, as thermodynamic systems, correspond to the zero points of the action and volume complexity at the Lloyd bound. For such black holes with a single horizon, the complexity of volume and the complexity of action at minimum mass and minimum temperature are zero, respectively. We show that the thermodynamic curvature diverges at these minimal values. Because of the behaviour of action complexity and thermodynamic curvature at minimum temperature, we propose the action complexity as an order parameter of the black holes as thermodynamic systems. Also, we derive the critical exponent related to the thermodynamic curvature in different dimensions.

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Geometry of AdS black hole thermodynamics in extended phase space

Cited by 7 publications

References 12 publications

Thermodynamics under the impact of thermal fluctuations and quasi-normal modes of Euler-Heisenberg AdS BH in the framework of NLED

Thermodynamics under the impact of thermal fluctuations and quasi-normal modes of Euler-Heisenberg AdS BH in the framework of NLED

Novel logarithmic corrections to black hole entropy

Thermodynamic geometry and complexity of black holes in theories with broken translational invariance

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