scholarly journals Phase transition of quantum-corrected Schwarzschild black hole in rainbow gravity

2018 ◽  
Vol 784 ◽  
pp. 6-11 ◽  
Author(s):  
Shahjalal Md.
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Schwarzschild Black Hole

scholarly journals MICROSCOPIC BLACK HOLE AND UNCERTAINTY PRINCIPLE WITH MINIMAL LENGTH AND MOMENTUM

2013 ◽  
Vol 28 (10) ◽  
pp. 1350029 ◽  
Author(s):  
M. M. STETSKO
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Emission Rate ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Schwarzschild Black Hole ◽  
Evaporation Time ◽  
Thermodynamical Functions

We investigate a microscopic black hole in the case of modified generalized uncertainty principle with a minimal uncertainty in position as well as in momentum. We calculate thermodynamical functions of a Schwarzschild black hole such as temperature, entropy and heat capacity. It is shown that the incorporation of minimal uncertainty in momentum leads to minimal temperature of a black hole. Minimal temperature gives rise to appearance of a phase transition. Emission rate equation and black hole's evaporation time are also obtained.

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 Thermodynamic Relations for Kiselev and Dilaton Black Hole

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Bushra Majeed ◽  
Mubasher Jamil ◽  
Parthapratim Pradhan
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Surface Temperature ◽  
Schwarzschild Black Hole ◽  
Event Horizons ◽  
First Law Of Thermodynamics ◽  
Special Cases ◽  
Dilaton Black Hole

We investigate the thermodynamics and phase transition for Kiselev black hole and dilaton black hole. Specifically we consider Reissner-Nordström black hole surrounded by radiation and dust and Schwarzschild black hole surrounded by quintessence, as special cases of Kiselev solution. We have calculated the products relating the surface gravities, surface temperatures, Komar energies, areas, entropies, horizon radii, and the irreducible masses at the Cauchy and the event horizons. It is observed that the product of surface gravities, product of surface temperature, and product of Komar energies at the horizons are not universal quantities for the Kiselev solutions while products of areas and entropies at both the horizons are independent of mass of the above-mentioned black holes (except for Schwarzschild black hole surrounded by quintessence). For charged dilaton black hole, all the products vanish. The first law of thermodynamics is also verified for Kiselev solutions. Heat capacities are calculated and phase transitions are observed, under certain conditions.

scholarly journals Phase transition of AdS–Schwarzschild black hole and gauge theory dual in the presence of external string cloud

2018 ◽  
Vol 33 (33) ◽  
pp. 1850193 ◽  
Author(s):  
Tanay K. Dey
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Critical Temperature ◽  
Bound State ◽  
Critical Value ◽  
Schwarzschild Black Hole ◽  
Hole Configuration ◽  
Cloud Density

We study the thermodynamics of AdS–Schwarzschild black hole in the presence of an external string cloud. We observe that, at any temperature, the black hole configuration is stable with nonzero entropy. We further notice that when the value of the curvature constant equals to one, if the string cloud density has less than a critical value, within a certain range of temperature three black holes configurations exist. One of these black holes is unstable and other two are stable. At a critical temperature, a transition between these two stable black holes takes place which leads us to conclude that the bound state of quark and antiquark pairs may not exist. By studying the corresponding dual gauge theory, we confirm the instability of the bound state of quark and antiquark pair in the dual gauge theory.

scholarly journals The thermodynamics and phase transition of a rainbow black hole

2019 ◽  
Vol 35 (05) ◽  
pp. 2050010
Author(s):  
Zhong-Wen Feng ◽  
De-Ling Tang ◽  
Dan-Dan Feng ◽  
Shu-Zheng Yang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Thermodynamic System ◽  
Thermodynamic Quantities ◽  
Schwarzschild Black Hole ◽  
First Order Phase Transition ◽  
First Order Phase

In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions and two Hawking–Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

scholarly journals THE HAGEDORN TRANSITION, DECONFINEMENT AND THE AdS/CFT CORRESPONDENCE

1998 ◽  
Vol 13 (39) ◽  
pp. 3137-3143 ◽  
Author(s):  
S. KALYANA RAMA ◽  
B. SATHIAPALAN
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Gauge Theory ◽  
Boundary Theory ◽  
Zero Temperature ◽  
Schwarzschild Black Hole ◽  
Time Coordinate ◽  
Expectation Value ◽  
Yang Mills ◽  
Additional Space

A connection between the Hagedorn transition in string theory and the deconfinement transition in (nonsupersymmetric) Yang–Mills theory is made using the AdS/CFT correspondence. We modify the model of zero temperature QCD proposed by Witten by compactifying an additional space–time coordinate with supersymmetry breaking boundary conditions thus introducing a finite temperature in the boundary theory. There is a Hagedorn-like transition associated with winding modes around this coordinate, which signals a topology changing phase transition to a new AdS/Schwarzschild black hole where this coordinate is the time coordinate. In the boundary gauge theory time-like Wilson loops acquire an expectation value above this temperature.

scholarly journals PARTITION FUNCTION OF THE REISSNER–NORDSTRÖM BLACK HOLE

2014 ◽  
Vol 23 (01) ◽  
pp. 1450001 ◽  
Author(s):  
JARMO MÄKELÄ
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Partition Function ◽  
Microscopic Model ◽  
Schwarzschild Black Hole ◽  
Hawking Effect ◽  
Analytic Expression

We consider a microscopic model of a stretched horizon of the Reissner–Nordström black hole. In our model, the stretched horizon consists of discrete constituents. Using our model we obtain an explicit, analytic expression for the partition function of the hole. Our partition function implies, among other things, the Hawking effect, and provides it with a microscopic explanation as a phase transition taking place at the stretched horizon. The partition function also implies the Bekenstein–Hawking entropy law. The model and its consequences are similar to those obtained previously for the Schwarzschild black hole.

NONEQUILIBRIUM THERMODYNAMIC FLUCTUATIONS OF (2+1)-DIMENSIONAL BLACK HOLES

1995 ◽  
Vol 10 (18) ◽  
pp. 1269-1276 ◽  
Author(s):  
WANG BIN ◽  
ZHU JIONG-MING
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Dimensional Space ◽  
Nonequilibrium Thermodynamic ◽  
Kerr Black Hole ◽  
Space Time ◽  
Schwarzschild Black Hole ◽  
Second Moments ◽  
Dimensional Space Time ◽  
Second Order Phase Transition

Applying the Landau-Lifshitz theory for thermodynamic fluctuations and the structure of (2 +1)-dimensional space-time, we calculate and estimate the second moments of some relevant quantities for (2+1)-dimensional Schwarzschild black hole, Kerr black hole and Reissner-Nordstrom black hole. The nonequilibrium second-order phase transition for extremal (2+1)-dimensional space-time is discussed.

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