scholarly journals A note on Maxwell’s equal area law for black hole phase transition

2015 ◽  
Vol 75 (9) ◽  
Author(s):  
Shan-Quan Lan ◽  
Jie-Xiong Mo ◽  
Wen-Biao Liu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Equal Area ◽  
Area Law

scholarly journals Maxwell’s Equal Area Law and the Hawking-Page Phase Transition

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Euro Spallucci ◽  
Anais Smailagic
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Black Hole ◽  
Critical Temperature ◽  
Equation Of State ◽  
Schwarzschild Black Hole ◽  
Pure Radiation ◽  
Equal Area ◽  
Gravity Duality ◽  
Area Law

We study the phases of a Schwarzschild black hole in the Anti-deSitter background geometry. Exploiting fluid/gravity duality, we construct the Maxwell equal area isotherm   in the temperature-entropy plane, in order to eliminate negative heat capacity BHs. The construction we present here is reminiscent of the isobar cut in the pressure-volume plane which eliminates unphysical part of the Van der Walls curves below the critical temperature. Our construction also modifies the Hawking-Page phase transition. Stable BHs are formed at the temperature , while pure radiation persists for . turns out to be below the standard Hawking-Page temperature and there are no unstable BHs as in the usual scenario. Also, we show that, in order to reproduce the correct BH entropy , one has to write a black hole equation of state, that is, , in terms of the geometrical volume .

scholarly journals Maxwell’s equal area law for Lovelock thermodynamics

2017 ◽  
Vol 26 (04) ◽  
pp. 1750037 ◽  
Author(s):  
Hao Xu ◽  
Zhen-Ming Xu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Free Energy ◽  
Gibbs Free Energy ◽  
Third Order ◽  
Equal Area ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Area Law

We present the construction of Maxwell’s equal area law for the Guass–Bonnet AdS black holes in [Formula: see text] and third-order Lovelock AdS black holes in [Formula: see text]. The equal area law can be used to find the number and location of the points of intersection in the plots of Gibbs free energy, so that we can get the thermodynamically preferred solution which corresponds to the first-order phase transition. We obtain the radius of the small and large black holes in the phase transition which share the same Gibbs free energy. The case with two critical points is explored in much more details. The latent heat is also studied.

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 Central charges for AdS black holes

2021 ◽  
Author(s):  
Malcolm Perry ◽  
Maria J Rodriguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Cosmological Constant ◽  
Central Charge ◽  
Negative Cosmological Constant ◽  
Ads Black Holes ◽  
Kerr Black Holes ◽  
Distinguishing Features ◽  
Area Law ◽  
Cardy Formula

Abstract Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left-right pair of Virasoro algebras with associated charges that reproduce the Bekenstein-Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with cL = cR. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.

Sign in / Sign up

Export Citation Format

Share Document