scholarly journals Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Shan-Quan Lan
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Electric Charge ◽  
Topological Charge ◽  
Canonical Ensemble ◽  
Oscillatory Behavior ◽  
Tail Behavior ◽  
Extended Thermodynamic ◽  
New Perspective ◽  
Analytical Phase

Phase transition of RN-AdS black hole is investigated from a new perspective. Not only is the cosmological constant treated as pressure but also the spatial curvature of black hole is treated as topological charge ϵ. We obtain the extended thermodynamic first law from which the mass is naturally viewed as enthalpy rather than internal energy. In canonical ensemble with fixed topological charge and electric charge Q, interesting van der Waals like oscillatory behavior in T-S and P-V graphs and swallow tail behavior in G-T and G-P graphs is observed. By applying the Maxwell equal area law and analysing the Gibbs free energy, we obtain analytical phase transition coexistence curves which are consistent with each other. The phase diagram is four dimensional with T,P,Q,ϵ.

scholarly journals New Phase Transition Related to the Black Hole’s Topological Charge

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Shan-Quan Lan ◽  
Gu-Qiang Li ◽  
Jie-Xiong Mo ◽  
Xiao-Bao Xu
Keyword(s):  
Phase Transition ◽  
Specific Heat ◽  
Topological Charge ◽  
Energy Analysis ◽  
Van Der Waals ◽  
Tail Behavior ◽  
Maxwell Theory ◽  
Free Energy Analysis ◽  
Physical Quantities ◽  
New Phase

The topological charge ϵ of AdS black hole is introduced by Tian et al. in their papers, where a complete thermodynamic first law is obtained. In this paper, we investigate a new phase transition related to the topological charge in Einstein-Maxwell theory. Firstly, we derive the explicit solutions corresponding to the divergence of specific heat Cϵ and determine the phase transition critical point. Secondly, the T-r curve and T-S curve are investigated and they exhibit an interesting van der Waals system’s behavior. Critical physical quantities are also obtained which are consistent with those derived from the specific heat analysis. Thirdly, a van der Waals system’s swallow tail behavior is observed when ϵ>ϵc in the F-T graph. What is more, the analytic phase transition coexistence lines are obtained by using the Maxwell equal area law and free energy analysis, the results of which are consistent with each other.

scholarly journals Existence condition and phase transition of Reissner–Nordström–de Sitter black hole

2014 ◽  
Vol 29 (09) ◽  
pp. 1450050 ◽  
Author(s):  
Meng-Sen Ma ◽  
Hui-Hua Zhao ◽  
Li-Chun Zhang ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Thermodynamic Properties ◽  
Electric Charge ◽  
Transition Point ◽  
Existence Condition ◽  
Phase Transition Point ◽  
Black Hole Horizon ◽  
Cosmological Horizon ◽  
De Sitter

After introducing the connection between the black hole horizon and the cosmological horizon, we discuss the thermodynamic properties of Reissner–Nordström–de Sitter (RN–dS) space–time. We present the condition under which RN–dS black hole can exist. Employing Ehrenfest' classification, we conclude that the phase transition of RN–dS black hole is the second-order one. The position of the phase transition point is irrelevant to the electric charge of the system. It only depends on the ratio of the black hole horizon and the cosmological horizon.

Further investigation on phase transitions of Born–Infeld AdS black holes

2014 ◽  
Vol 29 (18) ◽  
pp. 1450087
Author(s):  
Jie-Xiong Mo ◽  
Gu-Qiang Li ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Phase Structure ◽  
Canonical Ensemble ◽  
Standard Analysis ◽  
Ads Black Holes ◽  
The Impact ◽  
Constant Charge

In this paper, we further investigate the phase transitions of Born–Infeld AdS black holes in canonical ensemble. We take a different approach to investigate in detail the impact of the choice of parameters. Some interesting phase transition phenomena which has been ignored before are discovered. To examine the phase structure we find, we carry out the standard analysis of the behavior of free energy. We also apply the framework of geometrothermodynamics into Born–Infeld AdS black holes. It is shown that the Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat at constant charge diverges, which confirms the correctness of the phase structure we find. It is worth noting that although the phase structure shares similarity with RN-AdS black hole, it also has its unique characteristics due to influence of Born–Infeld electrodynamics.

scholarly journals Scalarized Einstein–Maxwell-scalar black holes in anti-de Sitter spacetime

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Guangzhou Guo ◽  
Peng Wang ◽  
Houwen Wu ◽  
Haitang Yang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Structure ◽  
Canonical Ensemble ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Maxwell Fields ◽  
Domain Of Existence ◽  
Black Hole Solutions

AbstractIn this paper, we study spontaneous scalarization of asymptotically anti-de Sitter charged black holes in an Einstein–Maxwell-scalar model with a non-minimal coupling between the scalar and Maxwell fields. In this model, Reissner–Nordström-AdS (RNAdS) black holes are scalar-free black hole solutions, and may induce scalarized black holes due to the presence of a tachyonic instability of the scalar field near the event horizon. For RNAdS and scalarized black hole solutions, we investigate the domain of existence, perturbative stability against spherical perturbations and phase structure. In a micro-canonical ensemble, scalarized solutions are always thermodynamically preferred over RNAdS black holes. However, the system has much richer phase structure and phase transitions in a canonical ensemble. In particular, we report a RNAdS BH/scalarized BH/RNAdS BH reentrant phase transition, which is composed of a zeroth-order phase transition and a second-order one.

scholarly journals Null geodesics and thermodynamic phase transition of four-dimensional Gauss–Bonnet AdS black hole

2021 ◽  
pp. 168461
Author(s):  
Kartheek Hegde ◽  
Naveena Kumara A. ◽  
Ahmed Rizwan C.L. ◽  
Md Sabir Ali ◽  
Ajith K.M.
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Null Geodesics ◽  
Thermodynamic Phase

Various types of holographic metal/superconductor phase transitions with dark matter sector

2016 ◽  
Vol 26 (06) ◽  
pp. 1750046
Author(s):  
Yan Peng ◽  
Tao Chen ◽  
Guohua Liu ◽  
Pengwei Ma
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Dark Matter ◽  
Phase Transitions ◽  
Transition Temperature ◽  
De Sitter ◽  
Holographic Superconductor ◽  
Black Hole Background ◽  
Critical Phase ◽  
Matter Sector

We generalize the holographic superconductor model with dark matter sector by including the Stückelberg mechanism in the four-dimensional anti-de Sitter (AdS) black hole background away from the probe limit. We study effects of the dark matter sector on the [Formula: see text]-wave scalar condensation and find that the dark matter sector affects the critical phase transition temperature and also the order of phase transitions. At last, we conclude that the dark matter sector brings richer physics in this general metal/superconductor system.

scholarly journals Phase Transitions of the BTZ Black Hole in New Massive Gravity

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Yun Soo Myung
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Fourth Order ◽  
Mass Parameter ◽  
Massive Gravity ◽  
Curvature Radius ◽  
Btz Black Hole

We investigate thermodynamics of the BTZ black hole in new massive gravity explicitly. Form2l2>1/2withm2being the mass parameter of fourth-order terms andl2AdS3curvature radius, the Hawking-Page phase transition occurs between the BTZ black hole and AdS (thermal) soliton. Form2l2<1/2, however, this transition unlikely occurs but a phase transition between the BTZ black hole and the massless BTZ black hole is possible to occur. We may call the latter the inverse Hawking-Page phase transition and this transition is favored in the new massive gravity.

scholarly journals Ergosphere, Photon Region Structure, and the Shadow of a Rotating Charged Weyl Black Hole

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 43
Author(s):  
Mohsen Fathi ◽  
Marco Olivares ◽  
José R. Villanueva
Keyword(s):  
Black Hole ◽  
Electric Charge ◽  
Angular Diameter ◽  
Static Limit ◽  
Rotating Black Hole ◽  
Spin Parameter

In this paper, we explore the photon region and the shadow of the rotating counterpart of a static charged Weyl black hole, which has been previously discussed according to null and time-like geodesics. The rotating black hole shows strong sensitivity to the electric charge and the spin parameter, and its shadow changes from being oblate to being sharp by increasing in the spin parameter. Comparing the calculated vertical angular diameter of the shadow with that of M87*, we found that the latter may possess about 1036 protons as its source of electric charge, if it is a rotating charged Weyl black hole. A complete derivation of the ergosphere and the static limit is also presented.

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