Higher Dimensional AdS Black Holes Research Articles

Effects of fluctuations in higher-dimensional AdS black holes

Effects of fluctuations in higher-dimensional AdS black holes

Holographic entanglement entropy with Power-Maxwell electrodynamics in higher dimensional AdS black hole spacetime* *Supported by the National Natural Science Foundation of China (11665015), the Guizhou Provincial Science and Technology Planning Project of China (qiankehejichu-ZK[2021]yiban026), and the Guizhou Province ordinary institutions of higher learning top science and technology talents Support plan of China (qianjiaoheKY[2019]062).

We investigate the behaviors of the scalar operator and holographic entanglement entropy in the metal/superconductor phase transition with Power-Maxwell electrodynamics in a higher dimensional background away from the probe limit. We observe that the larger parameters b and q make the condensation of the scalar operator more difficult, and the critical temperature decreases more slowly as the factors increase. In the belt geometry, the value of the entanglement entropy in the metal and superconductor phases is not only related to the the strength of the Power-Maxwell field but also to the width of the strip geometry. At the phase transition point, the discontinuous slope of entanglement entropy is universal for different model factors. It turns out that holographic entanglement entropy is a powerful tool to probe the properties of the phase transition in this holographic superconductor model.

Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids

The Chamblin-Reall background is a static solution of Einstein gravity coupled with a background scalar field and a dynamical domain wall, with the potential of the scalar field being of Liouville type. It can be got by dimensionally reducing a higher dimensional background with a constant potential. Compactified AdS black holes are black hole backgrounds constructed by wrapping one or more spatial directions of a higher dimensional AdS black hole on a torus and then integrating them out. The compactified AdS black hole background is asymptotically flat, non-conformal, and of Chamblin-Reall type. In this work, we derive all the 7 dynamical second-order transport coefficients for the relativistic fluids dual to compactified AdS black holes of various dimensions via fluid/gravity correspondence. Through this work, we achieve three main goals: (1) We prove that all the gravitational backgrounds that can be used to extract analytical results for second-order transport coefficients hitherto are all Chamblin-Reall type backgrounds. (2) We generalize the results in previous studies on the second-order transport coefficients of the relativistic fluids dual to 5-dimensional Chamblin-Reall model into general dimensions. (3) We offer a thorough study on the Kanitscheider-Skenderis proposal and find its physical accounts.

Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity

By considering the fifth order graviton term in massive gravity theory, we study the P–V critical behaviors of AdS black hole in d≥7 dimensional space–time, and find the solid/liquid/gas phase transition with the “common” tricritical point, which does not exist in absence of higher graviton terms. Moreover, we also find the number of positive real roots of critical radius equation plays a key role in classifying different kinds of phase transitions. If there is only one positive root of equation, the first order Van der Waals-like phase transition emerges. For two roots, the system could experience a zero-order reentrant phase transition. Notably, for three roots, the solid/liquid/gas phase transition can occur. In addition, because the critical radius equation is a (n−2)-order polynomial equation associated with the graviton terms, the critical phenomena of black holes in extended phase space depend crucially on the number n of the graviton terms in high dimensional massive gravity.

Rotating AdS black holes in Maxwell-f(T) gravity

The investigation on higher-dimensional AdS black holes is of great importance under the light of AdS/CFT correspondence. In this work we study static and rotating, uncharged and charged, AdS black holes in higher-dimensional gravity, focusing on the power-law ansatz which is the most viable according to observations. We extract AdS solutions characterized by an effective cosmological constant that depends on the parameters of the modification, as well as on the electric charge, even if the explicit cosmological constant is absent. These solutions do not have a general relativity or an uncharged limit, hence they correspond to a novel solution class, whose features arise solely from the torsional modification alongside the Maxwell sector incorporation. We examine the singularities of the solutions, calculating the values of various curvature and torsion invariants, finding that they do possess the central singularity, which however is softer comparing to standard general relativity case due to the effect. Additionally, we investigate the horizons structure, showing that the solutions possess an inner Cauchy horizon as well as an outer event one, nevertheless for suitably large electric charge and small mass we obtain the appearance of a naked singularity. Finally, we calculate the energy of the obtained solutions, showing that the modification affects the mass term.

Logarithmic-corrected van der Waals black holes in higher-dimensional AdS space

In this paper, we consider AdS black hole in $d$-dimensional space-time and calculate the logarithmic corrected thermodynamics quantities. We study the effects of thermal fluctuations on the thermodynamics of higher dimensional AdS black hole. We exploit such logarithmic corrected quantities to construct Van der Walls black holes solution and study the effects of logarithmic correction on the Van der Waals black holes. We also investigate the effect of thermal fluctuations on the equation of state. We find that the Van der Waals black hole is completely stable in the presence of the logarithmic correction.

Ehrenfest scheme of higher dimensional AdS black holes in the third-order Lovelock–Born–Infeld gravity

Interpreting the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the investigation of P–V critical behaviors of (1 + n)-dimensional AdS black holes in Lovelock–Born–Infeld gravity. In particular, we derive an explicit expression of the universal number [Formula: see text] in terms of the space dimension n. Then, we examine the phase transitions at the critical points of such black holes for 6 ≤ n < 11 as required by the physical condition of the thermodynamical quantities including criticality behaviors. More precisely, the Ehrenfest equations have been checked and they reveal that the black hole system undergoes a second phase transition at the critical points.

The Information Loss for QCD Matter Due to Interaction Potential Between Branes Near Higher Dimensional Ads Black Holes at LHC

It appears that having our own brane somehow interact with other branes would give rise to quite an interesting system and that interaction could lead to formation of a horizon in extra dimensions. We consider the question, whether or not, the signature of this appeared horizon can be observed near Ads black holes at Large Hadron Collider (LHC). To this end , we find the information loss for QCD matter in interaction potential between different branes near mini black holes at LHC by extending the Gottesman and Preskill method to higher dimensional Ads black holes and calculate the information transformation from the collapsing matter to the state of outgoing Hawking radiation for quarks and gluons. We notice that for all finite values of quark and gluon energies, all information from all emission processes experiences some degree of loss in appeared horizon.

Thermodynamic and classical instability of AdS black holes in fourth-order gravity

We study thermodynamic and classical instability of AdS black holes in fourth-order gravity. These include the BTZ black hole in new massive gravity, Schwarzschild-AdS black hole, and higher-dimensional AdS black holes in fourth-order gravity. All thermodynamic quantities which are computed using the Abbot-Deser-Tekin method are used to study thermodynamic instability of AdS black holes. On the other hand, we investigate the $s$-mode Gregory-Laflamme instability of the massive graviton propagating around the AdS black holes. We establish the connection between the thermodynamic instability and the GL instability of AdS black holes in fourth-order gravity. This may show the Gubser-Mitra conjecture which holds for AdS black holes found from fourth-order gravity.

Thermodynamics of phase transition in higher dimensional AdS black holes

We investigate the thermodynamics of phase transition for (n + 1) dimensional Reissner Nordstrom (RN)-AdS black holes using a grand canonical ensemble. This phase transition is characterized by a discontinuity in specific heat. The phase transition occurs from a lower mass black hole with negative specific heat to a higher mass black hole with positive specific heat. By exploring Ehrenfest’s scheme we show that this is a second order phase transition. Explicit expressions for the critical temperature and critical mass are derived. In appropriate limits the results for (n + 1) dimensional Schwarzschild AdS black holes are obtained.

One-loop effective potential from higher-dimensional AdS black holes

We study the quantum effects in a brane-world model in which a positive constant curvature brane universe is embedded in a higher-dimensional bulk AdS black hole, instead of the usual portion of the AdS5. By using zeta regularization, in the large mass regime, we explicitly calculate the one-loop effective potential due to the bulk quantum fields and show that it leads to a non-vanishing cosmological constant, which can definitely acquire a positive value.