Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Wei, Shao-Wen; Liu, Yu-Xiao

doi:10.1016/j.physletb.2020.135287

Cited by 63 publications

(64 citation statements)

References 67 publications

(61 reference statements)

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“…(2.18) above is however different from the one in [35,70], as it is valid even for C V = 0. More comments are made in the sections below.…”

Section: Thermodynamic Metrics For Black Holesmentioning

confidence: 71%

“…For the sake of completeness we shall recall the compatible metric structure of the thermodynamic phase space which reduces to the Ruppeiner metric on the spaces of thermodynamic equilibrium states or the so called Legendre submanifolds. We then study the Ruppeiner geometry and obtain the corresponding curvature scalars on both the (S, P )-and (T, V )-planes using enthalpy and Helmholtz free energy representations respectively for the charged Gauss-Bonnet black holes in AdS 5 (see [69,70] for recent developments). We comment on the nature of interactions and compare the results with those for Reissner-Nordström black holes in AdS 4 .…”

Section: Motivation and Planmentioning

confidence: 99%

“…In the following sections, we shall use eqns (2.17) and (2.18) to obtain the thermodynamic line elements for black holes. Let us note that, a metric in (T, V ) plane was proposed to study microstructures (assuming C V for static black holes to be nonzero) of Reissner-Nordström black holes in [35], and for neutral Gauss-Bonnet black holes in AdS in [70]. The metric in eqn.…”

Section: Thermodynamic Metrics For Black Holesmentioning

confidence: 99%

“…Although, there are other divergences and points where curvature takes negative values in figures- (2) and (3), these can be ignored from thermodynamic considerations by imposing the positivity of temperature. The curves for curvature, on the far right in these figures, which start out as positive, cross zero and become negative are thus the only ones considered [35,70].…”

Section: Reissner-nordström Black Holes In Adsmentioning

confidence: 99%

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Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes

Ghosh

Bhamidipati

2020

Phys. Rev. D

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In this paper, we study the thermodynamic geometry of charged Gauss-Bonnet black holes (and Reissner-Nordström black holes, for the sake of comparison) in AdS: in both (T, V )-and (S, P )-planes. The thermodynamic phase space is known to have an underlying contact and metric structure; Ruppeiner geometry then naturally arises in this framework. Sign of Ruppeiner curvature can be used to probe the nature of interactions between the black hole microstructures. It is found that there are both attraction and repulsion dominated regions which are in general determined by the electric charge, Gauss-Bonnet coupling and horizon radius of the black hole. The results are physically explained by considering that these black hole systems consist of charged as well as neutral microstructures much like a binary mixture of fluids. *

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“…(2.18) above is however different from the one in [35,70], as it is valid even for C V = 0. More comments are made in the sections below.…”

Section: Thermodynamic Metrics For Black Holesmentioning

confidence: 71%

Section: Motivation and Planmentioning

confidence: 99%

Section: Thermodynamic Metrics For Black Holesmentioning

confidence: 99%

Section: Reissner-nordström Black Holes In Adsmentioning

confidence: 99%

See 2 more Smart Citations

Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes

Ghosh

Bhamidipati

2020

Phys. Rev. D

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“…An intriguing microstructures were observed for the five-dimensional neutral Gauss-Bonnet (GB) AdS black hole [15]. In this background, there exists a small-large black hole phase transition.…”

mentioning

confidence: 99%

New insights into thermodynamics and microstructure of AdS black holes

Wei

Liu

2020

Science Bulletin

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PACS numbers:Black hole, a strange object of extreme gravity, is gradually believed to be a thermodynamic system after 1972. The area and the surface gravity of black hole event horizon were found to be closely related with the entropy and Hawking temperature. Then four thermodynamic laws were established [1]. Black hole phase transition as a characteristic nature and microstructure indicator has attracted a lot of attention.An isolated Schwarzschild black hole has negative heat capacity, thus it cannot exist stably. When the charge or angular momentum is considered, a branch of stable large black holes with positive heat capacity will emerge and they can exist stably. Hawking and Page found that there is a phase transition between large black hole and thermal radiation in an AdS space with a negative cosmological constant [2]. Motivated by the AdS/CFT [3], this Hawking-Page phase transition was interpreted as the confinement/deconfinement phase transition in gauge theory.Although there are different kinds of phase transitions, one remarkable difference between a black hole system and an ordinary thermodynamic system is that no pressure term exists for the black hole. A significant step toward this issue was shown in [4], where the cosmological constant is interpreted as the thermodynamic pressure. Then an AdS black hole system is more like an ordinary thermodynamic system. The corresponding conjugate quantity is the thermodynamic volume, which was found to equal to the geometric volume. However, they have different meanings, and this property are not required to hold for every black hole. Such phase space with the pressure and volume being included is now generally referred to extended phase space.Recently, the P -V criticality for charged AdS black holes was studied [5]. The results display that a first-order phase transition can occur among the stable small and large black holes at low temperature. At a certain temperature, this phase transition becomes a second-order one, which corresponds to the critical point. At this special point, the critical exponents and scaling laws were calculated. Moreover, they share the same values and forms as that of the van der Waals (VdW) fluid. Therefore, the precise analogy of the phase transition between the AdS black hole and the VdW fluid was established. Subsequently, this study was extended to other black holes, and it is known that the subject is Black Hole Chemistry.Besides the VdW-like phase transition, more interesting phase transitions were found. For example, six-dimensional single spinning Kerr-AdS black hole admits a reentrant phase transition [6] and multi-spinning Kerr-AdS black hole has a triple point [7]. We observed the similar triple point in Gauss-Bonnet gravity, and developed a novel way to shrink the parameter range where the triple point exists by counting the number of the extremal point of the isotherm.Comparing with the VdW fluid, black hole thermodynamics has two main differences: i) The relation between the black hole thermodynamic volume and spec...

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Insight into the Microstructure of FRW Universe from a P-V Phase Transition

Abdusattar

2023

J. High Energ. Phys.

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The P-V phase transition of the FRW (Friedmann-Robertson-Walker) universe with a perfect fluid has recently been investigated, revealing that the four critical exponents near the critical point are consistent with the values predicted by mean field theory. Notably, the coexistence phase of the P-V phase transition in the FRW universe above the critical temperature, which distinguishes it from van der Waals system and most of AdS black holes system. This unique property allows us to investigate the microstructure of the FRW universe as a thermodynamic system. Our analysis of the Ruppeiner geometry for the FRW universe reveals that the behavior of the thermodynamic scalar curvature near criticality is characterized by a dimensionless constant identical to that of the van der Waals fluid. Additionally, we observe that while repulsive interactions dominate for the coexistence samll phase with higher temperature, the scalar curvature for the coexistence large phase is always negative, indicating attractive interactions, providing new insights into the nature of interactions among the perfect fluid matter constituents in the expanding FRW universe.

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Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Cited by 63 publications

References 67 publications

Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes

Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes

New insights into thermodynamics and microstructure of AdS black holes

Insight into the Microstructure of FRW Universe from a P-V Phase Transition

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