scholarly journals Phase transition and shadow behaviors of quintessential black holes in M-theory/superstring inspired models

2021 ◽  
Vol 36 (08n09) ◽  
pp. 2150057
Author(s):  
A. Belhaj ◽  
A. El Balali ◽  
W. El Hadri ◽  
Y. Hassouni ◽  
E. Torrente-Lujan
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Optical Properties ◽  
Phase Transitions ◽  
Dark Energy ◽  
Cosmological Constant ◽  
Chemical Potential ◽  
State Parameter ◽  
M Theory

We study [Formula: see text]-dimensional black holes surrounded by dark energy (DE), embedded in [Formula: see text]-dimensional M-theory/superstring inspired models having [Formula: see text] space–time where [Formula: see text]. We focus first on the thermodynamical Hawking–Page phase transitions, whose microscopical origin is linked to [Formula: see text] coincident [Formula: see text]-branes supposed to live in such inspired models. Interpreting the cosmological constant as the number of colors, we compute various thermodynamical quantities in terms of the brane number, the entropy and the DE contribution. Calculating the ordinary chemical potential conjugated to the number of colors, we show that a generic black hole is more stable for a larger number of branes in lower dimensions. In the presence of DE, however, we find that the DE state parameter [Formula: see text] takes particular values, for [Formula: see text] models, providing nontrivial phase transitions. Then, we examine some optical properties. Concretely, we investigate shadow behaviors of quintessential black holes in terms of [Formula: see text]-brane physics. In terms of certain ratios, we find similar behaviors for critical quantities and shadow radius.

scholarly journals Critical Phenomena of Charged AdS Black Holes in Rastall Gravity

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
De-Cheng Zou ◽  
Ming Zhang ◽  
Chao Wu ◽  
Rui-Hong Yue
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Cosmological Constant ◽  
De Sitter ◽  
Perfect Fluids ◽  
Large Black Hole ◽  
Ads Black Holes ◽  
Phantom Fields

We construct analytical charged anti-de Sitter (AdS) black holes surrounded by perfect fluids in four dimensional Rastall gravity. Then, we discuss the thermodynamics and phase transitions of charged AdS black holes immersed in regular matter like dust and radiation, or exotic matter like quintessence, ΛCDM type, and phantom fields. Surrounded by phantom field, the charged AdS black hole demonstrates a new phenomenon of reentrant phase transition (RPT) when the parameters Q, Np, and ψ satisfy some certain condition, along with the usual small/large black hole (SBH/LBH) phase transition for the surrounding dust, radiation, quintessence, and cosmological constant fields.

scholarly journals GENERAL BPS BLACK HOLES IN FIVE DIMENSIONS

1998 ◽  
Vol 13 (03) ◽  
pp. 239-252 ◽  
Author(s):  
W. A. SABRA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Moduli Space ◽  
Arbitrary Number ◽  
Five Dimensions ◽  
Geometry Structure ◽  
Static Black Hole ◽  
Hole Configuration ◽  
M Theory

An algorithm for constructing general static black hole configuration for the theory of N=2, d= 5 supergravity coupled to an arbitrary number of Abelain vector multiplets is given. The underlying very special geometry structure plays a major role in this construction. From the viewpoint of M-theory compactified on a Calabi–Yau threefold, these black holes are identified with BPS winding states of the membrane around two-cycles of the Calabi–Yau threefold, and thus are of importance in the probing of the phase transitions in the moduli space of M-theory compactified on a Calabi–Yau threefold.

Phase transition in decaying black holes

2020 ◽  
Vol 35 (31) ◽  
pp. 2050258
Author(s):  
Aloke Kumar Sinha
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Quantum Black Hole ◽  
Dimensional Spacetime ◽  
The Stability ◽  
Derivatives Of ◽  
Physical Quantities ◽  
Thermal Stability Of

We had earlier derived the most general criteria for thermal stability of a quantum black hole, with arbitrary number of parameters, in any dimensional spacetime. These conditions appeared in form of a series of inequalities connecting second order derivatives of black hole mass with respect to its parameters. Some black holes like asymptotically flat rotating charged black holes do not satisfy all the stability criteria simultaneously, but do satisfy some of them in certain region of parameter space. They are known as “Quasi Stable” black holes. In this paper, we will show that quasi stable black holes although ultimately decay under Hawking radiation undergo phase transitions. These phase transitions are different from phase transition in ADS Schwarzschild black hole. These are marked by sign changes in certain physical quantities apart from specific heat of the black hole. We will also discuss the changes in the nature of fluctuations of the parameters of these quasi stable black holes with different phases.

Optical properties of rotating Hayward-de Sitter black hole surrounded by quintessence

2021 ◽  
pp. 2150048
Author(s):  
Yuan Chen ◽  
He-Xu Zhang ◽  
Tian-Chi Ma ◽  
Jian-Bo Deng
Keyword(s):  
Black Hole ◽  
Optical Properties ◽  
Cosmological Constant ◽  
Magnetic Charge ◽  
State Parameter ◽  
De Sitter ◽  
Text Setting ◽  
Horizon Radius ◽  
Inner Horizon ◽  
Charge Formula

In this paper, we discussed optical properties of the nonlinear magnetic charged black hole surrounded by quintessence with a nonzero cosmological constant [Formula: see text]. Setting the state parameter [Formula: see text], we studied the horizons, the photon region and the shadow of this black hole. It turned out that for a fixed quintessential parameter [Formula: see text], in a certain range, with the increase of the rotation parameter [Formula: see text] and magnetic charge [Formula: see text], the inner horizon radius increases while the outer horizon radius decreases. The cosmological horizon [Formula: see text] decreases when [Formula: see text] or [Formula: see text] increases and it increases slightly when [Formula: see text] and [Formula: see text] increase. The shapes of photon region were then studied and depicted through graphical illustrations. Finally, we discussed the effects of the quintessential parameter [Formula: see text] and the cosmological constant [Formula: see text] on the shadow of this black hole with a fixed observer position in the domain of outer communication.

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 Thermodynamic Volume in AdS/CFT

2018 ◽  
Vol 168 ◽  
pp. 07003
Author(s):  
Kyung Kiu Kim ◽  
Byoungjoon Ahn
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Cosmological Constant ◽  
Chemical Potential ◽  
Entanglement Entropy ◽  
Extended Thermodynamics ◽  
Ads Black Holes

In this note, we study on extended thermodynamics of AdS black holes by varying cosmological constant. We found and discussed pressure and volume of both bulk and boundary physics through AdS/CFT correspondence. In particular, we derive the relation between thermodynamic volume and a chemical potential for M2 brane dual to four dimensional AdS space. In addition, we show that thermodynamic volume of hyperbolic black hole is related to ‘entanglement pressure’ coming from a generalized first law of entanglement entropy.

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.

SEMICLASSICAL AND QUANTUM BLACK HOLES AND THEIR EVAPORATION, DE SITTER AND ANTI-DE SITTER REGIMES, GRAVITATIONAL AND STRING PHASE TRANSITIONS

2007 ◽  
Vol 22 (32) ◽  
pp. 6089-6131 ◽  
Author(s):  
M. RAMÓN MEDRANO ◽  
N. G. SÁNCHEZ
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
String Theory ◽  
Quantum Gravity ◽  
Space Time ◽  
De Sitter ◽  
Wave Particle Duality ◽  
Effective String Theory

An effective string theory in physically relevant cosmological and black hole space–times is reviewed. Explicit computations of the quantum string entropy, partition function and quantum string emission by black holes (Schwarzschild, rotating, charged, asymptotically flat, de Sitter dS and anti-de Sitter AdS space–times) in the framework of effective string theory in curved backgrounds provide an amount of new quantum gravity results as: (i) gravitational phase transitions appear with a distinctive universal feature: a square-root branch point singularity in any space–time dimensions. This is of the type of the de Vega–Sánchez transition for the thermal self-gravitating gas of point particles. (ii) There are no phase transitions in AdS alone. (iii) For dS background, upper bounds of the Hubble constant H are found, dictated by the quantum string phase transition. (iv) The Hawking temperature and the Hagedorn temperature are the same concept but in different (semiclassical and quantum) gravity regimes respectively. (v) The last stage of black hole evaporation is a microscopic string state with a finite string critical temperature which decays as usual quantum strings do in nonthermal pure quantum radiation (no information loss). (vi) New lower string bounds are given for the Kerr–Newman black hole angular momentum and charge, which are entirely different from the upper classical bounds. (vii) Semiclassical gravity states undergo a phase transition into quantum string states of the same system, these states are duals of each other in the precise sense of the usual classical–quantum (wave–particle) duality, which is universal irrespective of any symmetry or isommetry of the space–time and of the number or the kind of space–time dimensions.

scholarly journals Kerr-AdS black hole behaviors from dark energy

2020 ◽  
Vol 29 (09) ◽  
pp. 2050069 ◽  
Author(s):  
A. Belhaj ◽  
A. El Balali ◽  
W. El Hadri ◽  
M. A. Essebani ◽  
M. B. Sedra ◽  
...  
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dark Energy ◽  
Moduli Space ◽  
State Parameter ◽  
Explicit Formulas ◽  
Ads Black Holes ◽  
Analytical Formulas ◽  
Text Model ◽  
Quintessence Field

We investigate the critical behaviors of four-dimensional Kerr-AdS black holes from quintessential Dark Energy (DE) contributions. Using a moduli space, coordinated by the DE state parameter [Formula: see text] and the quintessence field intensity [Formula: see text], we deal with three different [Formula: see text]-models. By elaborating analytical formulas of relevant thermodynamical quantities denoted by [Formula: see text], we find significant similarities and distinctions. Precisely, for the [Formula: see text]-model, we show that DE contributions stabilize such black holes. For the [Formula: see text]-model, however, we get a reversed DE effect. In the [Formula: see text]-model, Kerr-AdS black holes reveal a resistance regarding the usual DE effects. Exploiting the explicit formulas of such thermodynamical quantities, we give certain physical interpretations for thermal behaviors. Although such relevant distinctions, we show that the [Formula: see text]-models involve similar universal ratios associated with certain critical thermodynamical quantities. Then, we analyze the photon orbits in the presence of DE.

scholarly journals Fingerprinting the Fractional Order Phase Transitions in AdS Black Holes

2021 ◽  
Vol 8 ◽  
Author(s):  
Mohamed Chabab ◽  
Samir Iraoui
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Detailed Analysis ◽  
Fractional Order ◽  
Critical Points ◽  
Order Phase Transition ◽  
Ads Black Holes ◽  
Kerr Black Holes

In this paper, we have extended and deepened the study on fractional order phase transition (FPT) of a charged AdS black hole. We have carried out a detailed analysis of FPT for several AdS black hole prototypes: black hole surrounded by quintessence background, 5D Gauss-Bonnet, D dimensional RN-AdS BH, and lastly Kerr black holes. We have shown that the 4/3 order FPT at critical points holds for the first three black holes systems, while for Kerr black holes, the fractional order is rather 1/3. These results suggest two remarkable features: Firstly 4/3 order phase transition can be assumed for asymptotically AdS black holes spherical solutions; secondly the fractional order is not universal and can be affected by the geometric symmetry.

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