scholarly journals On Thermodynamics of Charged and Rotating Asymptotically AdS Black Strings

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ren Zhao ◽  
Mengsen Ma ◽  
Huaifan Li ◽  
Lichun Zhang
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Thermodynamic System ◽  
Thermodynamic Quantities ◽  
Cylindrically Symmetric ◽  
Ads Black Holes ◽  
Divergence Points ◽  
Black Strings ◽  
The Stability ◽  
Thermodynamic Pressure

In this paper, we study thermodynamics of cylindrically symmetric black holes and calculate the equation of states and heat capacity of charged and rotating black strings. In the process, we treat the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume. It is shown that, when taking the equivalence between the thermodynamic quantities of black strings and the ones of general thermodynamic system, the isothermal compressibility and heat capacity of black strings satisfy the stability conditions of thermodynamic equilibrium and no divergence points exist for heat capacity. Thus, we obtain the conclusion that the thermodynamic system relevant to black strings is stable and there is no second-order phase transition for AdS black holes in the cylindrically symmetric spacetime.

Thermodynamic geometry of charged dilaton black holes in AdS spaces

2016 ◽  
Vol 94 (10) ◽  
pp. 1045-1053 ◽  
Author(s):  
Ahmad Sheykhi ◽  
Seyed Hossein Hendi ◽  
Fatemeh Naeimipour ◽  
Shahram Panahiyan ◽  
Behzad Eslam Panah
Keyword(s):  
Black Holes ◽  
Ricci Scalar ◽  
Thermodynamic Quantities ◽  
Geometrical Approach ◽  
De Sitter ◽  
Ads Black Holes ◽  
Divergence Points ◽  
The Stability ◽  
Thermodynamical Behavior ◽  
Dilaton Black Holes

It was shown that with the combination of three Liouville-type dilaton potentials, one can derive dilaton black holes in the background of anti-de-Sitter (AdS) spaces. In this paper, we further extend the study on the dilaton AdS black holes by investigating their thermodynamic instability through a geometry approach. First, we review thermodynamic quantities of the solutions and check the validity of the first law of thermodynamics. Then, we investigate phase transitions and stability of the solutions. In particular, we disclose the effects of the dilaton field on the stability of the black holes. We also employ the geometrical approach toward thermodynamical behavior of the system and find that the divergencies in the Ricci scalar coincide with roots and divergencies in the heat capacity. We find that the behavior of the Ricci scalar around divergence points depends on the type of the phase transition.

scholarly journals Some Thermodynamic Aspects of Black Holes and Singularities

1997 ◽  
Vol 06 (05) ◽  
pp. 575-590 ◽  
Author(s):  
C. O. Lousto
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Helmholtz Free Energy ◽  
Canonical Ensemble ◽  
Thermodynamic System ◽  
Negative Mass ◽  
Energy Potential ◽  
Stability Behavior ◽  
Helmholtz Potential ◽  
The Stability

We review and correct the classical critical exponents characterizing the transition from negative to positive black hole's heat capacity at high charge-angular momentum. We discuss the stability properties of black holes as a thermodynamic system in equilibrium with a radiation bath (canonical ensemble) by using the Helmholtz free energy potential. Finally we analytically extend the analysis to any value of the variables in the Helmholtz potential and show that this leads to the consideration of negative mass holes. We then study their curious thermodynamical stability behavior.

Entropy bound of horizons of some regular black holes

2020 ◽  
Vol 35 (10) ◽  
pp. 2050070
Author(s):  
Ujjal Debnath
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Specific Heat ◽  
Surface Area ◽  
Event Horizon ◽  
Specific Heat Capacity ◽  
Thermodynamic Quantities ◽  
Event Horizons ◽  
Regular Black Hole

We study the four-dimensional (i) modified Bardeen black hole, (ii) modified Hayward black hole, (iii) charged regular black hole and (iv) magnetically charged regular black hole. For modified Bardeen black hole and modified Hayward black hole, we found only one horizon (event horizon) and then we found some thermodynamic quantities like the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the event horizon. We here study the bounds of the above thermodynamic quantities for these black holes on the event horizon. Then, we examine the thermodynamics stability of the black holes with some conditions. Next, we studied the charged regular black hole and magnetically charged regular black hole and found two horizons (Cauchy and event horizons) of these black holes. Then, we found the entropy, surface area, irreducible mass, temperature, Komar energy and specific heat capacity on the Cauchy and event horizons. Then, we get some conditions for thermodynamic stability/instability of the black holes. We found the radius of the extremal horizon and Christodoulou–Ruffiini mass and then analyze the above thermodynamic quantities on the extremal horizon. We calculate the sum/subtraction, product, division and sum/subtraction of inverse of surface areas, entropies, irreducible masses, temperatures, Komar energies and specific heat capacities on both the horizons. From these, we found the bounds of the above quantities on the horizons.

Thermodynamic of the charged AdS black holes in Rastall gravity: P − V critical and Joule–Thomson expansion

2020 ◽  
Vol 35 (14) ◽  
pp. 2050113
Author(s):  
Sen Guo ◽  
Yan Han ◽  
Guo Ping Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Critical Temperature ◽  
Critical Exponents ◽  
State Equation ◽  
The State ◽  
Thermodynamic Quantities ◽  
Critical Temperatures ◽  
Ads Black Holes ◽  
And Inversion

In this paper, we study the thermodynamic of the charged AdS black holes in Rastall gravity. Firstly, the thermodynamic quantities of the charged AdS black holes in Rastall gravity are reviewed and the state equation of this black hole is obtained. Then, we investigate the [Formula: see text] critical and the Joule–Thomson expansion of the charged AdS black holes in Rastall gravity in which the critical temperature and the critical exponents are obtained. In addition, we get the inversion temperature and plot the isenthalpic and inversion curves in the [Formula: see text] plane, and also determine the cooling-heating regions of this black hole through the Joule–Thomson expansion. Finally, we investigate the ratio between the minimum inversion and critical temperatures, and find that the Rastall constant [Formula: see text] does not affect of this ratio.

scholarly journals Thermodynamics of black holes in Rastall gravity

2018 ◽  
Vol 27 (07) ◽  
pp. 1850069 ◽  
Author(s):  
Iarley P. Lobo ◽  
H. Moradpour ◽  
J. P. Morais Graça ◽  
I. G. Salako
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
General Relativity ◽  
Black Hole ◽  
Momentum Conservation ◽  
Thermodynamic Quantities ◽  
Horizon Radius ◽  
Thermodynamics Of Black Holes ◽  
Matter Fields ◽  
Energy Momentum Conservation

A promising theory in modifying general relativity (GR) by violating the ordinary energy–momentum conservation law in curved spacetime is the Rastall theory of gravity. In this theory, geometry and matter fields are coupled to each other in a nonminimal way. Here, we study thermodynamic properties of some black hole (BH) solutions in this framework, and compare our results with those of GR. We demonstrate how the presence of these matter sources amplifies the effects caused by the Rastall parameter in thermodynamic quantities. Our investigation also shows that BHs with radius smaller than a certain amount ([Formula: see text]) have negative heat capacity in the Rastall framework. In fact, it is a lower bound for the possible values of horizon radius satisfied by the stable BHs.

scholarly journals P-VCriticality of Conformal Anomaly Corrected AdS Black Holes

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Jie-Xiong Mo ◽  
Wen-Biao Liu
Keyword(s):  
Black Holes ◽  
Phase Space ◽  
Conformal Anomaly ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Ads Black Holes ◽  
Conformal Parameter ◽  
Thermodynamics Of Black Holes ◽  
Thermodynamic Pressure ◽  
Physical Quantities

The effects of conformal anomaly on the thermodynamics of black holes are investigated in this paper from the perspective ofP-Vcriticality of AdS black holes. Treating the cosmological constant as thermodynamic pressure, we extend the recent research to the extended phase space. Firstly, we study theP-Vcriticality of the uncharged AdS black holes with conformal anomaly and find that conformal anomaly does not influence whether there exists Van der Waals like critical behavior. Secondly, we investigate theP-Vcriticality of the charged cases and find that conformal anomaly influences not only the critical physical quantities but also the ratioPcrc/Tc. The ratio is no longer a constant as before but a function of conformal anomaly parameterα~. We also show that the conformal parameter should satisfy a certain range to guarantee the existence of critical point that has physical meaning. Our results show the effects of conformal anomaly.

scholarly journals THERMODYNAMICS OF GAUSS–BONNET–BORN–INFELD BLACK HOLES IN AdS SPACE

2011 ◽  
Vol 26 (07) ◽  
pp. 515-529 ◽  
Author(s):  
DECHENG ZOU ◽  
ZHANYING YANG ◽  
RUIHONG YUE ◽  
PENG LI
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Stability Analysis ◽  
Mass Temperature ◽  
The Stability

We construct solutions of a model which includes the Gauss–Bonnet and Born–Infeld terms for various horizon topologies (k = 0, ±1), and then the mass, temperature, entropy, and heat capacity of black holes are computed. For the sake of simplicity, we perform the stability analysis of five-dimensional topological black holes in AdS space.

scholarly journals Thermodynamics of Charged AdS Black Holes in Rainbow Gravity

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Ping Li ◽  
Miao He ◽  
Jia-Cheng Ding ◽  
Xian-Ru Hu ◽  
Jian-Bo Deng
Keyword(s):  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Fixed Charge ◽  
Modified Dispersion Relation ◽  
Heisenberg Uncertainty Principle ◽  
Ads Black Holes ◽  
Hole Charge ◽  
Special Value ◽  
Heisenberg Uncertainty

In this paper, the thermodynamic property of charged AdS black holes is studied in rainbow gravity. By the Heisenberg Uncertainty Principle and the modified dispersion relation, we obtain deformed temperature. Moreover, in rainbow gravity we calculate the heat capacity in a fixed charge and discuss the thermal stability. We also obtain a similar behaviour with the liquid-gas system in extending phase space (including P and r) and study its critical behavior with the pressure given by the cosmological constant and with a fixed black hole charge Q. Furthermore, we study the Gibbs function and find its characteristic swallow tail behavior, which indicates the phase transition. We also find that there is a special value about the mass of test particle which would lead the black hole to zero temperature and a diverging heat capacity with a fixed charge.

A note on thermal fluctuations from cylindrical black holes

2020 ◽  
Vol 17 (13) ◽  
pp. 2050191
Author(s):  
Suhail Khan ◽  
Furqan Habib ◽  
Askar Ali
Keyword(s):  
Thermal Stability ◽  
Black Holes ◽  
Heat Capacity ◽  
Phase Transitions ◽  
Thermal Fluctuations ◽  
Thermodynamic Quantities ◽  
Thermal Stability Of

We have studied thermal fluctuations from neutral as well as charged and rotating charged cylindrical black holes. In this context, we computed modified expressions for several thermodynamic quantities such as entropy, mass and heat capacity for all these types of cylindrical black holes. It is shown that these quantities change their forms under the influence of thermal fluctuations. We also discuss the phase transitions and thermal stability of these gravitating objects.

scholarly journals Thermodynamic properties of black holes in de Sitter space

2016 ◽  
Vol 32 (02) ◽  
pp. 1750017 ◽  
Author(s):  
Huai-Fan Li ◽  
Meng-Sen Ma ◽  
Ya-Qin Ma
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Heat Capacity ◽  
Black Hole ◽  
Thermodynamic Properties ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
First Law Of Thermodynamics ◽  
Effective Temperatures ◽  
Sds Black Hole

We study the thermodynamic properties of Schwarzschild–de Sitter (SdS) black hole and Reissner–Nordström–de Sitter (RNdS) black hole in view of global and effective thermodynamic quantities. Making use of the effective first law of thermodynamics, we can derive the effective thermodynamic quantities of de Sitter black holes. It is found that these effective thermodynamic quantities also satisfy Smarr-like formula. Especially, the effective temperatures are nonzero in the Nariai limit. By calculating heat capacity and Gibbs free energy, we find SdS black hole is always thermodynamically stable and RNdS black hole may undergoes phase transition at some points.

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