Hawking–Page phase transitions in four-dimensional Einstein–Gauss–Bonnet gravity

Wang, Yuanyuan; Su, Bing‐Yu; Li, Nan

doi:10.1016/j.dark.2020.100769

Cited by 25 publications

(6 citation statements)

References 54 publications

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“…This means that the existence of Hawking-Page transition and other phase transitions of AdS black holes will have the same behavior in these two frames. One can find some examples in [49][50][51].…”

Section: Discussionmentioning

confidence: 99%

Three-dimensional massive Kiselev AdS black hole and its thermodynamics

Cui¹,

Xu²

2021

Commun. Theor. Phys.

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We present an exact three-dimensional massive Kiselev AdS black hole solution. This Kiselev black hole is neither perfectly fluid, nor is it the quintessential solution, but the BTZ black hole modified by the anisotropic matter. This black hole possesses an essential singularity at its radial origin and a single horizon whose radius will increase monotonically when the parameter of the anisotropic matter field ω decreases. We calculate all thermodynamic quantities and find that the first law of thermodynamics of this massive Kiselev AdS black hole can be protected, while the consistent Smarr formula is only held in the extended thermodynamic phase space. After examining the sign of free energy, we conclude that there is no Hawking-Page transition since the massive Kiselev AdS black hole phase is always thermodynamically favored. Moreover, we study the phase transition between the Kiselev AdS black hole and BTZ black hole by considering the matchings for their temperature. We find that the Kiselev AdS black hole is still a thermodynamically more preferred phase, because it always has a smaller amount of free energy than the BTZ black hole, which seems to indicate that the anisotropic matter field may emerge naturally in BTZ black hole spacetime under some thermal fluctuations. We also show a first order phase transition between the Kiselev AdS black hole phase with w -< < -1 1 2 and the black hole phase with w -< < 0 1 2 . As the Kiselev AdS black hole has some notable features on the phase transition of black holes in three dimensions, it provides important clues to further investigate these both surprising and similar behaviors in four and higher dimensions.

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Section: Discussionmentioning

confidence: 99%

Three-dimensional massive Kiselev AdS black hole and its thermodynamics

Cui¹,

Xu²

2021

Commun. Theor. Phys.

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“…which yields mini- mum function, below which no BH exists [40]. After calculating r + in terms of T from Eq.…”

Section: Phase Transition Of Black Hole Through Deflection Anglementioning

confidence: 99%

Hawking evaporation, shadow images, and thermodynamics of black holes through deflection angle

2022

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We study the Hawking evaporation process of the exact black hole with nonlinear electrodynamics for positive and negative coupling constant $$\zeta $$ ζ . We provide a new perspective to study the thermodynamics of exact black hole through deflection angle formalism. We also evaluate the shadow images in the presence of deflection images for this black hole. Moreover, we consider the Gibbs energy optical dependence to investigate the Hawking-Page transition. We observe that evaporation rate depends upon $$\zeta $$ ζ and black hole evaporates more quickly for positive $$\zeta $$ ζ as compared to negative $$\zeta $$ ζ . For the case $$\zeta =-1$$ ζ = - 1 , the black hole’s lifetime become infinite, which makes the black hole a remnant and the third law of black hole thermodynamics holds in this scenario. We show that the thermal variations in the deflection angle can be used to determine the stable and unstable phases of the black hole. Our findings show that large and small phase transitions of black hole occur at a specific value of the deflection angle.

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“…In the extended phase space, the thermodynamic properties of the Gauss-Bonnet BH were widely studied. [72][73][74][75][76][77][78][79] At present, there are few studies discussing the thermodynamic properties based on the shadow of the Gauss-Bonnet BH, which presents an intriguing research opportunity. Considering that current observational methods make it difficult to directly detect the thermodynamic PT of a BH, this paper establishes the relationship between the BH shadow and its thermodynamic PT.…”

Section: Introductionmentioning

confidence: 99%

View of thermodynamic phase transition of the charged Gauss–Bonnet AdS black hole via the shadow

He 何,

Guo 郭,

Luo 罗

et al. 2024

Chinese Phys. B

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In this study, we examine the thermodynamic phase transition (PT) of the charged Gauss-Bonnet AdS black hole (BH) by utilizing the shadow radius of the BH. In this system, we rescale the corresponding Gauss-Bonnet coefficient α by a factor of 1=(D-4), and ensure that α is positive to avoid any singularity problems. The equation derived for the shadow radius indicates that it increases as the event horizon radius increases, making it an independent variable for determining BH temperature. By investigating the PT curve in relation to shadows, we can observe that the shadow radius can be used as an alternative to the event horizon radius in explaining the phenomenon of BH PT. Furthermore, the results indicate that an increase in the parameter α corresponds to a decrease in the temperature of the BH. By utilizing the relationship between the temperature and the shadow radius, it is possible to obtain the thermal profile of the Gauss-Bonnet AdS BH. It is evident that there is an N-type variation in temperature for pressures P < P c. Additionally, as the parameter α increases, the region covered by shadow expands while the temperature decreases. The utilization of BH shadows as a probe holds immense significance in gaining a deeper understanding of BH thermodynamic behavior.

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Hawking–Page phase transitions in four-dimensional Einstein–Gauss–Bonnet gravity

Cited by 25 publications

References 54 publications

Three-dimensional massive Kiselev AdS black hole and its thermodynamics

Three-dimensional massive Kiselev AdS black hole and its thermodynamics

Hawking evaporation, shadow images, and thermodynamics of black holes through deflection angle

View of thermodynamic phase transition of the charged Gauss–Bonnet AdS black hole via the shadow

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